Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Textbook Question
Chapter 4.2, Problem 125E
Write a uniform motion problem similar to Example 4.15 that relates to where you live with your friends or family members. Then translate to a system of equations and solve it.
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Compare the interest earned from #1 (where simple interest was used) to #5 (where compound interest was used). The principal, annual interest rate, and time were all the same; the only difference was that for #5, interest was compounded quarterly. Does the difference in interest earned make sense? Select one of the following statements. a. No, because more money should have been earned through simple interest than compound interest. b. Yes, because more money was earned through simple interest. For simple interest you earn interest on interest, not just on the amount of principal. c. No, because more money was earned through simple interest. For simple interest you earn interest on interest, not just on the amount of principal. d. Yes, because more money was earned when compounded quarterly. For compound interest you earn interest on interest, not just on the amount of principal.
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Chapter 4 Solutions
Intermediate Algebra
Ch. 4.1 - Determine whether the ordered pair is a solution...Ch. 4.1 - Determine whether the ordered pair is a solution...Ch. 4.1 - Solve the system by graphing: {x3y=3x+y=5 .Ch. 4.1 - Solve the system by graphing: {x+y=13x+2y=12 .Ch. 4.1 - Solve the system by graphing: {x+y=12x+y=10 .Ch. 4.1 - Solve the system by graphing: {2x+y=6x+y=1 .Ch. 4.1 - Solve the system by graphing: {y=14x+2x+4y=8 .Ch. 4.1 - Solve the system by graphing: {y=3x16x2y=6 .Ch. 4.1 - Solve the system by graphing: {y=3x66x+2y=12 .Ch. 4.1 - Solve the system by graphing: {y=12x42x4y=16 .
Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - Without graphing, determine the number of...Ch. 4.1 - Solve the system by substitution: {2x+y=11x+3y=9 .Ch. 4.1 - Solve the system by substitution: {2x+y=14x+3y=3 .Ch. 4.1 - Solve the system by substitution: {x4y=43x+4y=0 .Ch. 4.1 - Solve the system by substitution: {4xy=02x3y=5 .Ch. 4.1 - Solve the system by elimination: {3x+y=52x3y=7 .Ch. 4.1 - Solve the system by elimination: {4x+y=52x2y=2 .Ch. 4.1 - Solve the system by elimination: {3x4y=95x+3y=14 .Ch. 4.1 - Solve the system by elimination: {7x+8y=43x5y=27 .Ch. 4.1 - Solve the system by elimination: {13x12y=134xy=52...Ch. 4.1 - Solve the system by elimination:...Ch. 4.1 - Solve the system by elimination: {5x3y=15y=5+53x .Ch. 4.1 - Solve the system by elimination: {x+2y=6y=12x+3 .Ch. 4.1 - For each system of linear equations decide whether...Ch. 4.1 - For each system of linear equations decide whether...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, determine if the...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - In the following exercises, solve the following...Ch. 4.1 - 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Solve the system of equations {x+y=10xy=6 (a) by...Ch. 4.2 - The sum of two numbers is 10. One number is 4 less...Ch. 4.2 - The sum of two numbers is 6 . One number is 10...Ch. 4.2 - Geraldine has been offered positions by two...Ch. 4.2 - Kenneth currently sells suits for company A at a...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - The measure of one of the small angles of a right...Ch. 4.2 - The measure of one of the small angles of a right...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - Translate to a system of equations and then solve:...Ch. 4.2 - 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In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - In the following exercises, translate to a system...Ch. 4.2 - Write an application problem similar to Example...Ch. 4.2 - Write a uniform motion problem similar to Example...Ch. 4.3 - Translate to a system of equations and solve: The...Ch. 4.3 - Translate to a system of equations and solve: The...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve: Leon...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - Translate to a system of equations and solve:...Ch. 4.3 - The manufacturer of a weight training bench spends...Ch. 4.3 - The manufacturer of a weight training bench spends...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - In the following exercises, translate to a system...Ch. 4.3 - 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The manufacturer of an energy drink spends $1.20...Ch. 4.3 - The manufacturer of a water bottle spends $5 to...Ch. 4.3 - Take a handful of two types of coins, and write a...Ch. 4.3 - In Example 4.28, we used elimination to solve the...Ch. 4.4 - Determine whether the ordered triple is a solution...Ch. 4.4 - Determine whether the ordered triple is a solution...Ch. 4.4 - Solve the system by elimination:...Ch. 4.4 - Solve the system by elimination:...Ch. 4.4 - Solve: {3x4z=12y+3z=22x+3y=6 .Ch. 4.4 - Solve: {4x3z=53y+2z=73x+4y=6 .Ch. 4.4 - Solve the system of equations:...Ch. 4.4 - Solve the system of equations:...Ch. 4.4 - Solve the system by equations:...Ch. 4.4 - Solve the system by equations:...Ch. 4.4 - The community college fine arts department sold...Ch. 4.4 - The community college soccer team sold three kinds...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - In the following exercises, determine whether the...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the system of...Ch. 4.4 - In the following exercises, solve the given...Ch. 4.4 - In the following exercises, solve the given...Ch. 4.4 - In the following exercises, solve the given...Ch. 4.4 - In the following exercises, solve the given...Ch. 4.4 - In your own words explain the steps to solve a...Ch. 4.4 - How can you tell when a system of three linear...Ch. 4.5 - Write each system of linear equations as an...Ch. 4.5 - Write each system of linear equations as an...Ch. 4.5 - Write the system of equations that corresponds to...Ch. 4.5 - Write the system of equations that corresponds to...Ch. 4.5 - Perform the indicated operations on the augmented...Ch. 4.5 - Perform the indicated operations on the augmented...Ch. 4.5 - Perform the needed row operation that will get the...Ch. 4.5 - Perform the needed row operation that will get the...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - Solve the system of equations using a matrix:...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - In the following exercises, write each system of...Ch. 4.5 - Write the system of equations that that...Ch. 4.5 - Write the system of equations that that...Ch. 4.5 - Write the system of equations that that...Ch. 4.5 - Write the system of equations that that...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, perform the indicated...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - In the following exercises, solve each system of...Ch. 4.5 - Solve the system of equations {x+y=10xy=6 (a) by...Ch. 4.5 - Solve the system of equations {3x+y=12x=y8 by...Ch. 4.6 - Evaluate the determinate of (a) [5324] (b)[4607] .Ch. 4.6 - Evaluate the determinate of (a) [1324] (b) [7350]...Ch. 4.6 - For the determinant |114021233| , find and then...Ch. 4.6 - For the determinant |210301123| , find and then...Ch. 4.6 - Evaluate the determinant |324012231| , by...Ch. 4.6 - Evaluate the determinant |322214103| , by...Ch. 4.6 - Evaluate the determinant |213034343| by expanding...Ch. 4.6 - Evaluate the determinant |213122440| by expanding...Ch. 4.6 - Solve using Cramer’s rule: {3x+y=32x+3y=6 .Ch. 4.6 - Solve using Cramer’s rule: {x+y=22x+y=4 .Ch. 4.6 - Solve the system of equations using Cramer’s Rule:...Ch. 4.6 - Solve the system of equations using Cramer’s Rule:...Ch. 4.6 - Solve the system of equations using Cramer’s rule:...Ch. 4.6 - Solve the system of equations using Cramer’s rule:...Ch. 4.6 - Determine whether the points (3,2),(5,3), and...Ch. 4.6 - Determine whether the points (4,1),(6,2) and (2,4)...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, evaluate the...Ch. 4.6 - In the following exercises, find and then evaluate...Ch. 4.6 - In the following exercises, find and then evaluate...Ch. 4.6 - In the following exercises, find and then evaluate...Ch. 4.6 - In the following exercises, find and then evaluate...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, evaluate each...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, solve each system of...Ch. 4.6 - In the following exercises, determine whether the...Ch. 4.6 - In the following exercises, determine whether the...Ch. 4.6 - In the following exercises, determine whether the...Ch. 4.6 - In the following exercises, determine whether the...Ch. 4.6 - Explain the difference between a square matrix and...Ch. 4.6 - Explain what is meant by the minor of an entry in...Ch. 4.6 - Explain how to decide which row or column you will...Ch. 4.6 - Explain the steps for solving a system of...Ch. 4.7 - Determine whether the ordered pair is a solution...Ch. 4.7 - Determine whether the ordered pair is a solution...Ch. 4.7 - Solve the system by graphing: {y3x+2yx1 .Ch. 4.7 - Solve the system by graphing: {y 1 2x+3y3x4 .Ch. 4.7 - Solve the system by graphing: {x+y2y 2 3x1 .Ch. 4.7 - Solve the system by graphing: {3x2y6y 1 4x+5 .Ch. 4.7 - Solve the system by graphing: {y3x2y1 .Ch. 4.7 - Solve the system by graphing: {x4x2y4 .Ch. 4.7 - Solve the system by graphing: {3x2y12y 3 2x+1 .Ch. 4.7 - Solve the system by graphing: {x+3y8y 1 3x2 .Ch. 4.7 - Solve the system by graphing: {y3x+13x+y4 .Ch. 4.7 - Solve the system by graphing: {y 1 4x+2x+4y4 .Ch. 4.7 - A trailer can carry a maximum weight of 160 pounds...Ch. 4.7 - Mary needs to purchase supplies of answer sheets...Ch. 4.7 - Tension needs to eat at least an extra 1,000...Ch. 4.7 - Philip’s doctor tells him he should add at least...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - 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In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, solve each system by...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - In the following exercises, translate to a system...Ch. 4.7 - 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- If $8000 is deposited into an account earning simple interest at an annual interest rate of 4% for 10 years, howmuch interest was earned? Show you work.arrow_forward10-2 Let A = 02-4 and b = 4 Denote the columns of A by a₁, a2, a3, and let W = Span {a1, a2, a̸3}. -4 6 5 - 35 a. Is b in {a1, a2, a3}? How many vectors are in {a₁, a₂, a3}? b. Is b in W? How many vectors are in W? c. Show that a2 is in W. [Hint: Row operations are unnecessary.] a. Is b in {a₁, a2, a3}? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. ○ A. No, b is not in {a₁, a2, 3} since it cannot be generated by a linear combination of a₁, a2, and a3. B. No, b is not in (a1, a2, a3} since b is not equal to a₁, a2, or a3. C. Yes, b is in (a1, a2, a3} since b = a (Type a whole number.) D. Yes, b is in (a1, a2, 3} since, although b is not equal to a₁, a2, or a3, it can be expressed as a linear combination of them. In particular, b = + + ☐ az. (Simplify your answers.)arrow_forward14 14 4. The graph shows the printing rate of Printer A. Printer B can print at a rate of 25 pages per minute. How does the printing rate for Printer B compare to the printing rate for Printer A? The printing rate for Printer B is than the rate for Printer A because the rate of 25 pages per minute is than the rate of for Printer A. pages per minute RIJOUT 40 fy Printer Rat Number of Pages 8N WA 10 30 20 Printer A 0 0 246 Time (min) Xarrow_forward
- OR 16 f(x) = Ef 16 χ по x²-2 410 | y = (x+2) + 4 Y-INT: y = 0 X-INT: X=0 VA: x=2 OA: y=x+2 0 X-INT: X=-2 X-INT: y = 2 VA 0 2 whole. 2-2 4 y - (x+2) = 27-270 + xxx> 2 क् above OA (x+2) OA x-2/x²+0x+0 2 x-2x 2x+O 2x-4 4 X<-1000 4/4/2<0 below Of y VA X=2 X-2 OA y=x+2 -2 2 (0,0) 2 χarrow_forwardI need help solving the equation 3x+5=8arrow_forwardWhat is the domain, range, increasing intervals (theres 3), decreasing intervals, roots, y-intercepts, end behavior (approaches four times), leading coffiencent status (is it negative, positivie?) the degress status (zero, undifined etc ), the absolute max, is there a absolute minimum, relative minimum, relative maximum, the root is that has a multiplicity of 2, the multiplicity of 3.arrow_forward
- What is the vertex, axis of symmerty, all of the solutions, all of the end behaviors, the increasing interval, the decreasing interval, describe all of the transformations that have occurred EXAMPLE Vertical shrink/compression (wider). or Vertical translation down, the domain and range of this graph EXAMPLE Domain: x ≤ -1 Range: y ≥ -4.arrow_forward4. Select all of the solutions for x²+x - 12 = 0? A. -12 B. -4 C. -3 D. 3 E 4 F 12 4 of 10arrow_forward2. Select all of the polynomials with the degree of 7. A. h(x) = (4x + 2)³(x − 7)(3x + 1)4 B h(x) = (x + 7)³(2x + 1)^(6x − 5)² ☐ Ch(x)=(3x² + 9)(x + 4)(8x + 2)ª h(x) = (x + 6)²(9x + 2) (x − 3) h(x)=(-x-7)² (x + 8)²(7x + 4)³ Scroll down to see more 2 of 10arrow_forward
- 1. If all of the zeros for a polynomial are included in the graph, which polynomial could the graph represent? 100 -6 -2 0 2 100 200arrow_forward3. Select the polynomial that matches the description given: Zero at 4 with multiplicity 3 Zero at −1 with multiplicity 2 Zero at -10 with multiplicity 1 Zero at 5 with multiplicity 5 ○ A. P(x) = (x − 4)³(x + 1)²(x + 10)(x — 5)³ B - P(x) = (x + 4)³(x − 1)²(x − 10)(x + 5)³ ○ ° P(x) = (1 − 3)'(x + 2)(x + 1)"'" (x — 5)³ 51 P(r) = (x-4)³(x − 1)(x + 10)(x − 5 3 of 10arrow_forwardMatch the equation, graph, and description of transformation. Horizontal translation 1 unit right; vertical translation 1 unit up; vertical shrink of 1/2; reflection across the x axis Horizontal translation 1 unit left; vertical translation 1 unit down; vertical stretch of 2 Horizontal translation 2 units right; reflection across the x-axis Vertical translation 1 unit up; vertical stretch of 2; reflection across the x-axis Reflection across the x - axis; vertical translation 2 units down Horizontal translation 2 units left Horizontal translation 2 units right Vertical translation 1 unit down; vertical shrink of 1/2; reflection across the x-axis Vertical translation 2 units down Horizontal translation 1 unit left; vertical translation 2 units up; vertical stretch of 2; reflection across the x - axis f(x) = - =-½ ½ (x − 1)²+1 f(x) = x²-2 f(x) = -2(x+1)²+2 f(x)=2(x+1)²-1 f(x)=-(x-2)² f(x)=(x-2)² f(x) = f(x) = -2x²+1 f(x) = -x²-2 f(x) = (x+2)²arrow_forward
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