(a) Explanation Definition used: The graph of the function f ( x ) = a ( x − h ) 2 + k is a parabola then, 1. It opens up if a > 0 and down if a < 0 . 2. ( h , k ) is the vertex. 3. x = h is the axis of symmetry. 4. k is the minimum value if a > 0 . 5. k is the maximum value if a < 0 . Calculation: The given function is f ( x ) = − 3 x 2 − 3 x + 1 . Use the completing square method to convert the function f ( x ) = − 3 x 2 − 3 x + 1 into the form f ( x ) = a ( x − h ) 2 + k . f ( x ) = − 3 x 2 − 3 x + 1 = − 3 ( x 2 + x ) + 1 = − 3 ( x 2 + x + 1 4 − 1 4 ) + 1 = − 3 ( x 2 + x + 1 4 ) − 3 ( − 1 4 ) + 1 ( remove − 1 (b) To determine The axis of symmetry of the function f ( x ) = − 3 x 2 − 3 x + 1 . (c) To determine To find: The maximum or minimum value of the function f ( x ) = − 3 x 2 − 3 x + 1 , if it exists. (d) To determine To sketch: The graph of the function f ( x ) = − 3 x 2 − 3 x + 1 .

Pearson eText for College Algebra: Graphs and Models -- Instant Access (Pearson+)

6th Edition

ISBN: 9780136880264

Author: Marvin Bittinger, Judith Beecher

Publisher: PEARSON+

See similar textbooks

Videos

Question

Chapter 3.3, Problem 16E

(a)

To determine

The vertex of the function f(x)=−3x2−3x+1.

(b)

To determine

The axis of symmetry of the function f(x)=−3x2−3x+1.

(c)

To determine

To find: The maximum or minimum value of the function f(x)=−3x2−3x+1, if it exists.

(d)

To determine

To sketch: The graph of the function f(x)=−3x2−3x+1.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 3.3, Problem 15E

Chapter 3.3, Problem 17E

Students have asked these similar questions

Exercises 15-20: Identify the vertex and leading coeffi- cient. Then write the expression as f(x) = ax² + bx + c. 15. f(x) = -3(x = 1)² + 2 16. f(x) = 5(x + 2)² – 5 17. f(x) = 5 – 2(x – 4)² 18. f(x) = (x + 3)² – 5 19. f(x) = (x + 5)² - } 20. f(x) = -5(x – 4)²

Exercises 9 and 10: Use the vertex formula to determine the vertex on the graph of f. 9. f(x) = -3x² + 2x – 4 10. f(x) = x² + 8x - 5

Use the 3 points to determine the function the describes the quadratic graphs. a) (0,0), (15,6.36), (19.86,0) b) (0,0), (18.47,6.6), (21.23,0) c) (0,0), (7.71,4.29), (14.46,0) d) (0,0), (6.43,2.76), (10.04,0)

Chapter 3 Solutions

Pearson eText for College Algebra: Graphs and Models -- Instant Access (Pearson+)

Ch. 3.1 - Express the number in terms of i. 1. 3 Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Express the number in terms of i. 5. 33 Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.1 - Prob. 46E Ch. 3.1 - Prob. 47E Ch. 3.1 - Prob. 48E Ch. 3.1 - Prob. 49E Ch. 3.1 - Prob. 50E Ch. 3.1 - Simplify. write answers in the form a + bi, where...Ch. 3.1 - Simplify. Write answers in the form a + bi, where...Ch. 3.1 - Prob. 53E Ch. 3.1 - Prob. 54E Ch. 3.1 - Prob. 55E Ch. 3.1 - Prob. 56E Ch. 3.1 - Prob. 57E Ch. 3.1 - Prob. 58E Ch. 3.1 - Prob. 59E Ch. 3.1 - Prob. 60E Ch. 3.1 - Prob. 61E Ch. 3.1 - Prob. 62E Ch. 3.1 - Prob. 63E Ch. 3.1 - Prob. 64E Ch. 3.1 - Prob. 65E Ch. 3.1 - Prob. 66E Ch. 3.1 - Prob. 67E Ch. 3.1 - Prob. 68E Ch. 3.1 - Prob. 69E Ch. 3.1 - Simplify. Write answers in the form a + bi, where...Ch. 3.1 - Prob. 71E Ch. 3.1 - Prob. 72E Ch. 3.1 - Simplify. Write answers in the form a + bi, where...Ch. 3.1 - Prob. 74E Ch. 3.1 - Prob. 75E Ch. 3.1 - Prob. 76E Ch. 3.1 - Prob. 77E Ch. 3.1 - Prob. 78E Ch. 3.1 - Prob. 79E Ch. 3.1 - Prob. 80E Ch. 3.1 - Simplify. 81. i35 Ch. 3.1 - Prob. 82E Ch. 3.1 - Prob. 83E Ch. 3.1 - Prob. 84E Ch. 3.1 - Prob. 85E Ch. 3.1 - Prob. 86E Ch. 3.1 - Prob. 87E Ch. 3.1 - Prob. 88E Ch. 3.1 - Prob. 89E Ch. 3.1 - Prob. 90E Ch. 3.1 - Prob. 91E Ch. 3.1 - Prob. 92E Ch. 3.1 - Prob. 93E Ch. 3.1 - Prob. 94E Ch. 3.1 - Prob. 95E Ch. 3.1 - Prob. 96E Ch. 3.1 - Prob. 97E Ch. 3.1 - Prob. 98E Ch. 3.1 - Prob. 99E Ch. 3.1 - Prob. 100E Ch. 3.1 - Prob. 101E Ch. 3.2 - Prob. 1E Ch. 3.2 - Prob. 2E Ch. 3.2 - Solve. 3. x2 8x 20 = 0 Ch. 3.2 - Solve. 4. x2 + 6x + 8 = 0 Ch. 3.2 - Solve. 5. 3x2 + x 2 = 0 Ch. 3.2 - Solve. 6. 10x2 16x + 6 = 0 Ch. 3.2 - Solve. 7. 4x2 12 = 0 Ch. 3.2 - Solve. 8. 6x2 = 36 Ch. 3.2 - Solve. 9. 3x2 = 21 Ch. 3.2 - Prob. 10E Ch. 3.2 - Prob. 11E Ch. 3.2 - Solve. 12. 4x2 + 12 = 0 Ch. 3.2 - Prob. 13E Ch. 3.2 - Prob. 14E Ch. 3.2 - Solve. 15. 2x2 = 6x Ch. 3.2 - Prob. 16E Ch. 3.2 - Prob. 17E Ch. 3.2 - Solve. 18. 3t3 + 2t = 5t2 Ch. 3.2 - Prob. 19E Ch. 3.2 - Prob. 20E Ch. 3.2 - In Exercises 2128, use the given graph to find (a)...Ch. 3.2 - Prob. 22E Ch. 3.2 - Prob. 23E Ch. 3.2 - In Exercises 2128, use the given graph to find (a)...Ch. 3.2 - Prob. 25E Ch. 3.2 - Prob. 26E Ch. 3.2 - In Exercises 2128, use the given graph to find (a)...Ch. 3.2 - Prob. 28E Ch. 3.2 - Prob. 29E Ch. 3.2 - Solve by completing the square to obtain exact...Ch. 3.2 - Prob. 31E Ch. 3.2 - Prob. 32E Ch. 3.2 - Solve by completing the square to obtain exact...Ch. 3.2 - Prob. 34E Ch. 3.2 - Prob. 35E Ch. 3.2 - Solve by completing the square to obtain exact...Ch. 3.2 - Prob. 37E Ch. 3.2 - Prob. 38E Ch. 3.2 - Use the quadratic formula to find exact solutions....Ch. 3.2 - Prob. 40E Ch. 3.2 - Prob. 41E Ch. 3.2 - Use the quadratic formula to find exact solutions....Ch. 3.2 - Prob. 43E Ch. 3.2 - Prob. 44E Ch. 3.2 - Use the quadratic formula to find exact solutions....Ch. 3.2 - Prob. 46E Ch. 3.2 - Prob. 47E Ch. 3.2 - Use the quadratic formula to find exact solutions....Ch. 3.2 - Prob. 49E Ch. 3.2 - Prob. 50E Ch. 3.2 - Use the quadratic formula to find exact solutions....Ch. 3.2 - Prob. 52E Ch. 3.2 - Prob. 53E Ch. 3.2 - Use the quadratic formula to find exact solutions....Ch. 3.2 - Prob. 55E Ch. 3.2 - Prob. 56E Ch. 3.2 - Prob. 57E Ch. 3.2 - For each of the following, find the discriminant,...Ch. 3.2 - Prob. 59E Ch. 3.2 - For each of the following, find the discriminant,...Ch. 3.2 - Prob. 61E Ch. 3.2 - For each of the following, find the discriminant,...Ch. 3.2 - Prob. 63E Ch. 3.2 - Solve graphically. Round solutions to three...Ch. 3.2 - Prob. 65E Ch. 3.2 - Prob. 66E Ch. 3.2 - Prob. 67E Ch. 3.2 - Solve graphically. Round solutions to three...Ch. 3.2 - Prob. 69E Ch. 3.2 - Solve graphically. Round solutions to three...Ch. 3.2 - Prob. 71E Ch. 3.2 - Find the zeros of the function algebraically. Give...Ch. 3.2 - Prob. 73E Ch. 3.2 - Prob. 74E Ch. 3.2 - Find the zeros of the function algebraically. Give...Ch. 3.2 - Prob. 76E Ch. 3.2 - Prob. 77E Ch. 3.2 - Find the zeros of the function algebraically. Give...Ch. 3.2 - Prob. 79E Ch. 3.2 - Prob. 80E Ch. 3.2 - Prob. 81E Ch. 3.2 - Prob. 82E Ch. 3.2 - Find the zeros of the function algebraically. Give...Ch. 3.2 - Prob. 84E Ch. 3.2 - Prob. 85E Ch. 3.2 - Prob. 86E Ch. 3.2 - Prob. 87E Ch. 3.2 - Prob. 88E Ch. 3.2 - Prob. 89E Ch. 3.2 - Prob. 90E Ch. 3.2 - Solve. x4 3x2 + 2 = 0 Ch. 3.2 - Prob. 92E Ch. 3.2 - Prob. 93E Ch. 3.2 - Prob. 94E Ch. 3.2 - Prob. 95E Ch. 3.2 - Prob. 96E Ch. 3.2 - Prob. 97E Ch. 3.2 - Prob. 98E Ch. 3.2 - Prob. 99E Ch. 3.2 - Prob. 100E Ch. 3.2 - Prob. 101E Ch. 3.2 - Prob. 102E Ch. 3.2 - Prob. 103E Ch. 3.2 - Prob. 104E Ch. 3.2 - Prob. 105E Ch. 3.2 - Prob. 106E Ch. 3.2 - Multigenerational Households. After declining...Ch. 3.2 - Prob. 108E Ch. 3.2 - Prob. 109E Ch. 3.2 - Prob. 110E Ch. 3.2 - Prob. 111E Ch. 3.2 - Prob. 112E Ch. 3.2 - Prob. 113E Ch. 3.2 - Prob. 114E Ch. 3.2 - Prob. 115E Ch. 3.2 - Prob. 116E Ch. 3.2 - Prob. 117E Ch. 3.2 - Prob. 118E Ch. 3.2 - Prob. 119E Ch. 3.2 - Prob. 120E Ch. 3.2 - Prob. 121E Ch. 3.2 - Prob. 122E Ch. 3.2 - Prob. 123E Ch. 3.2 - Prob. 124E Ch. 3.2 - Prob. 125E Ch. 3.2 - Prob. 126E Ch. 3.2 - Prob. 127E Ch. 3.2 - Prob. 128E Ch. 3.2 - Prob. 129E Ch. 3.2 - Prob. 130E Ch. 3.2 - Prob. 131E Ch. 3.2 - Prob. 132E Ch. 3.2 - Prob. 133E Ch. 3.2 - Prob. 134E Ch. 3.2 - Prob. 135E Ch. 3.2 - Prob. 136E Ch. 3.2 - Prob. 137E Ch. 3.2 - Prob. 138E Ch. 3.2 - Prob. 139E Ch. 3.2 - Prob. 140E Ch. 3.2 - Prob. 141E Ch. 3.2 - Prob. 142E Ch. 3.2 - Prob. 143E Ch. 3.2 - Prob. 144E Ch. 3.2 - Prob. 145E Ch. 3.2 - Prob. 146E Ch. 3.2 - Prob. 147E Ch. 3.2 - Prob. 148E Ch. 3.3 - In Exercises 1 and 2, use the given graph to find...Ch. 3.3 - Prob. 2E Ch. 3.3 - In Exercises 316: a) Find the vertex. b) Find the...Ch. 3.3 - Prob. 4E Ch. 3.3 - Prob. 5E Ch. 3.3 - In Exercises 316: a) Find the vertex. b) Find the...Ch. 3.3 - Prob. 7E Ch. 3.3 - Prob. 8E Ch. 3.3 - In Exercises 316: a) Find the vertex. b) Find the...Ch. 3.3 - Prob. 10E Ch. 3.3 - Prob. 11E Ch. 3.3 - In Exercises 316: a) Find the vertex. b) Find the...Ch. 3.3 - Prob. 13E Ch. 3.3 - Prob. 14E Ch. 3.3 - In Exercises 316: a) Find the vertex. b) Find the...Ch. 3.3 - Prob. 16E Ch. 3.3 - Prob. 17E Ch. 3.3 - In Exercises 1724, match the equation with one of...Ch. 3.3 - Prob. 19E Ch. 3.3 - Prob. 20E Ch. 3.3 - Prob. 21E Ch. 3.3 - Prob. 22E Ch. 3.3 - Prob. 23E Ch. 3.3 - Prob. 24E Ch. 3.3 - Prob. 25E Ch. 3.3 - Prob. 26E Ch. 3.3 - Prob. 27E Ch. 3.3 - Prob. 28E Ch. 3.3 - Prob. 29E Ch. 3.3 - Prob. 30E Ch. 3.3 - Prob. 31E Ch. 3.3 - Prob. 32E Ch. 3.3 - In Exercises 3140: a) Find the vertex. b)...Ch. 3.3 - Prob. 34E Ch. 3.3 - Prob. 35E Ch. 3.3 - In Exercises 3140: a) Find the vertex. b)...Ch. 3.3 - Prob. 37E Ch. 3.3 - In Exercises 3140: a) Find the vertex. b)...Ch. 3.3 - In Exercises 3140: a) Find the vertex. b)...Ch. 3.3 - In Exercises 3140: a) Find the vertex. b)...Ch. 3.3 - Height of a Ball. A ball is thrown directly upward...Ch. 3.3 - Height of a Projectile. A stone is thrown directly...Ch. 3.3 - Prob. 43E Ch. 3.3 - Prob. 44E Ch. 3.3 - Maximizing Volume. Mendoza Manufacturing plans to...Ch. 3.3 - Prob. 46E Ch. 3.3 - Maximizing Area. The sum of the base and the...Ch. 3.3 - Prob. 48E Ch. 3.3 - Minimizing Cost. Designs for #1 Canines has...Ch. 3.3 - Prob. 50E Ch. 3.3 - Maximizing Profit. In business, profit is the...Ch. 3.3 - Prob. 52E Ch. 3.3 - Maximizing Area. A berry farmer needs to separate...Ch. 3.3 - Prob. 54E Ch. 3.3 - Prob. 55E Ch. 3.3 - Prob. 56E Ch. 3.3 - Prob. 57E Ch. 3.3 - Prob. 58E Ch. 3.3 - Prob. 59E Ch. 3.3 - Prob. 60E Ch. 3.3 - Prob. 61E Ch. 3.3 - Prob. 62E Ch. 3.3 - Graph: f(x) = (|x| 5)2 3.Ch. 3.3 - Find a quadratic function with vertex (4, 5) and...Ch. 3.3 - Prob. 65E Ch. 3.4 - Solve. 1. 14+15=1t Ch. 3.4 - Prob. 2E Ch. 3.4 - Prob. 3E Ch. 3.4 - Prob. 4E Ch. 3.4 - Solve. 5. 12+2x=13+3x Ch. 3.4 - Prob. 6E Ch. 3.4 - Prob. 7E Ch. 3.4 - Solve. 8. 2x1=3x+2 Ch. 3.4 - Prob. 9E Ch. 3.4 - Prob. 10E Ch. 3.4 - Solve. 11. x+6x=5 Ch. 3.4 - Prob. 12E Ch. 3.4 - Prob. 13E Ch. 3.4 - Solve. 14. 3m+2+2m=4m4m24 Ch. 3.4 - Prob. 15E Ch. 3.4 - Solve. 16. 2xx+7=5x+1 Ch. 3.4 - Solve. 17. 2x+5+1x5=16x225 Ch. 3.4 - Prob. 18E Ch. 3.4 - Prob. 19E Ch. 3.4 - Solve. 20. 3y+5y2+5y+y+4y+5=y+1y Ch. 3.4 - Prob. 21E Ch. 3.4 - Prob. 22E Ch. 3.4 - Solve. 23. 25x+53x21=4x1 Ch. 3.4 - Prob. 24E Ch. 3.4 - Prob. 25E Ch. 3.4 - Prob. 26E Ch. 3.4 - Prob. 27E Ch. 3.4 - Prob. 28E Ch. 3.4 - Prob. 29E Ch. 3.4 - Prob. 30E Ch. 3.4 - Prob. 31E Ch. 3.4 - Prob. 32E Ch. 3.4 - Prob. 33E Ch. 3.4 - Prob. 34E Ch. 3.4 - Prob. 35E Ch. 3.4 - Prob. 36E Ch. 3.4 - Prob. 37E Ch. 3.4 - Prob. 38E Ch. 3.4 - Prob. 39E Ch. 3.4 - Prob. 40E Ch. 3.4 - Prob. 41E Ch. 3.4 - Prob. 42E Ch. 3.4 - Prob. 43E Ch. 3.4 - Prob. 44E Ch. 3.4 - Prob. 45E Ch. 3.4 - Prob. 46E Ch. 3.4 - Prob. 47E Ch. 3.4 - Prob. 48E Ch. 3.4 - Prob. 49E Ch. 3.4 - Prob. 50E Ch. 3.4 - Prob. 51E Ch. 3.4 - Prob. 52E Ch. 3.4 - Prob. 53E Ch. 3.4 - Prob. 54E Ch. 3.4 - Prob. 55E Ch. 3.4 - Prob. 56E Ch. 3.4 - Prob. 57E Ch. 3.4 - Prob. 58E Ch. 3.4 - Prob. 59E Ch. 3.4 - Prob. 60E Ch. 3.4 - Prob. 61E Ch. 3.4 - Prob. 62E Ch. 3.4 - Prob. 63E Ch. 3.4 - Prob. 64E Ch. 3.4 - Prob. 65E Ch. 3.4 - Prob. 66E Ch. 3.4 - Prob. 67E Ch. 3.4 - Prob. 68E Ch. 3.4 - Prob. 69E Ch. 3.4 - Prob. 70E Ch. 3.4 - Prob. 71E Ch. 3.4 - Solve. 72. 4p+5+p+5=3 Ch. 3.4 - Prob. 73E Ch. 3.4 - Prob. 74E Ch. 3.4 - Prob. 75E Ch. 3.4 - Prob. 76E Ch. 3.4 - Prob. 77E Ch. 3.4 - Prob. 78E Ch. 3.4 - Prob. 79E Ch. 3.4 - Prob. 80E Ch. 3.4 - Prob. 81E Ch. 3.4 - Prob. 82E Ch. 3.4 - Prob. 83E Ch. 3.4 - Prob. 84E Ch. 3.4 - Prob. 85E Ch. 3.4 - Prob. 86E Ch. 3.4 - Prob. 87E Ch. 3.4 - Prob. 88E Ch. 3.4 - Prob. 89E Ch. 3.4 - Prob. 90E Ch. 3.4 - Prob. 91E Ch. 3.4 - Prob. 92E Ch. 3.4 - Prob. 93E Ch. 3.4 - Solve. [1.5] 94. Student Loan Debt. In 2014, the...Ch. 3.4 - Prob. 95E Ch. 3.4 - Prob. 96E Ch. 3.4 - Prob. 97E Ch. 3.4 - Prob. 98E Ch. 3.4 - Prob. 99E Ch. 3.5 - Solve. 1. |x| = 7 Ch. 3.5 - Prob. 2E Ch. 3.5 - Solve. 3. |x| = 0 Ch. 3.5 - Prob. 4E Ch. 3.5 - Prob. 5E Ch. 3.5 - Solve. 6. |x|=35 Ch. 3.5 - Prob. 7E Ch. 3.5 - Prob. 8E Ch. 3.5 - Solve. 9. |3x| = 1 Ch. 3.5 - Prob. 10E Ch. 3.5 - Prob. 11E Ch. 3.5 - Solve. 4. |6x| = 0 Ch. 3.5 - Prob. 13E Ch. 3.5 - Prob. 14E Ch. 3.5 - Solve. 15. |x + 2| = 6 Ch. 3.5 - Prob. 16E Ch. 3.5 - Prob. 17E Ch. 3.5 - Solve. 18. |7x 4| = 8 Ch. 3.5 - Prob. 19E Ch. 3.5 - Prob. 20E Ch. 3.5 - Solve. 21. |x 1| + 3 = 6 Ch. 3.5 - Prob. 22E Ch. 3.5 - Prob. 23E Ch. 3.5 - Solve. 24. |x 4| + 3 = 9 Ch. 3.5 - Prob. 25E Ch. 3.5 - Prob. 26E Ch. 3.5 - Solve. 27. |4x 3| + 1 = 7 Ch. 3.5 - Prob. 28E Ch. 3.5 - Prob. 29E Ch. 3.5 - Solve. 30. 9 |x 2| = 7 Ch. 3.5 - Prob. 31E Ch. 3.5 - Prob. 32E Ch. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 34E Ch. 3.5 - Prob. 35E Ch. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 37E Ch. 3.5 - Prob. 38E Ch. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 40E Ch. 3.5 - Prob. 41E Ch. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 43E Ch. 3.5 - Prob. 44E Ch. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 46E Ch. 3.5 - Prob. 47E Ch. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 49E Ch. 3.5 - Prob. 50E Ch. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 52E Ch. 3.5 - Prob. 53E Ch. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 55E Ch. 3.5 - Prob. 56E Ch. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 58E Ch. 3.5 - Prob. 59E Ch. 3.5 - Solve and write interval notation for the solution...Ch. 3.5 - Prob. 61E Ch. 3.5 - Prob. 62E Ch. 3.5 - Prob. 63E Ch. 3.5 - Prob. 64E Ch. 3.5 - Prob. 65E Ch. 3.5 - Prob. 66E Ch. 3.5 - Prob. 67E Ch. 3.5 - Prob. 68E Ch. 3.5 - Prob. 69E Ch. 3.5 - In each of Exercises 6572, fill in the blank with...Ch. 3.5 - Prob. 71E Ch. 3.5 - Prob. 72E Ch. 3.5 - Prob. 73E Ch. 3.5 - Prob. 74E Ch. 3.5 - Prob. 75E Ch. 3.5 - Prob. 76E Ch. 3.5 - Prob. 77E Ch. 3 - Determine whether the statement is true or false....Ch. 3 - Prob. 2MC Ch. 3 - Prob. 3MC Ch. 3 - Prob. 4MC Ch. 3 - Express the number in terms of i. [3.1] 36 Ch. 3 - Express the number in terms of i. [3.1] 5 Ch. 3 - Express the number in terms of i. [3.1] 16 Ch. 3 - Express the number in terms of i. [3.1] 32 Ch. 3 - Simplify. Write answers in the form a + bi, where...Ch. 3 - Simplify. Write answers in the form a + bi, where...Ch. 3 - Prob. 11MC Ch. 3 - Simplify. Write answers in the form a + bi, where...Ch. 3 - Simplify. [3.1] i13 Ch. 3 - Simplify. [3.1] i44 Ch. 3 - Simplify. [3.1] (i)5 Ch. 3 - Simplify. [3.1] (2i)6 Ch. 3 - Solve. [3.2| x2 + 3x 4 Ch. 3 - Solve. [3.2| 2x2 + 6 = 7x Ch. 3 - Solve. [3.2] 4x2 = 24 Ch. 3 - Solve. [3.2] x2 + 100 Ch. 3 - Find the zeros of f(x) = 4x2 8x 3 by completing...Ch. 3 - In Exercises 2224: a) Find the discriminant b2 ...Ch. 3 - In Exercises 2224: a) Find the discriminant b2 ...Ch. 3 - In Exercises 2224: a) Find the discriminant b2 ...Ch. 3 - Solve. [3.2] x4 + 5x2 6 = 0 Ch. 3 - Solve. [3.2] 2x5x+2=0 Ch. 3 - Prob. 27MC Ch. 3 - Prob. 28MC Ch. 3 - Prob. 29MC Ch. 3 - Prob. 30MC Ch. 3 - Prob. 1RE Ch. 3 - Prob. 2RE Ch. 3 - Prob. 3RE Ch. 3 - Prob. 4RE Ch. 3 - Prob. 5RE Ch. 3 - Prob. 6RE Ch. 3 - Prob. 7RE Ch. 3 - Prob. 8RE Ch. 3 - Prob. 9RE Ch. 3 - Prob. 10RE Ch. 3 - Prob. 11RE Ch. 3 - Prob. 12RE Ch. 3 - Prob. 13RE Ch. 3 - Prob. 14RE Ch. 3 - Prob. 15RE Ch. 3 - Prob. 16RE Ch. 3 - Prob. 17RE Ch. 3 - Prob. 18RE Ch. 3 - Prob. 19RE Ch. 3 - Prob. 20RE Ch. 3 - Prob. 21RE Ch. 3 - Prob. 22RE Ch. 3 - Prob. 23RE Ch. 3 - Prob. 24RE Ch. 3 - Prob. 25RE Ch. 3 - Prob. 26RE Ch. 3 - Prob. 27RE Ch. 3 - Prob. 28RE Ch. 3 - Prob. 29RE Ch. 3 - Prob. 30RE Ch. 3 - Prob. 31RE Ch. 3 - Prob. 32RE Ch. 3 - Prob. 33RE Ch. 3 - Prob. 34RE Ch. 3 - Prob. 35RE Ch. 3 - Prob. 36RE Ch. 3 - Prob. 37RE Ch. 3 - Prob. 38RE Ch. 3 - Prob. 39RE Ch. 3 - Prob. 40RE Ch. 3 - Prob. 41RE Ch. 3 - Prob. 42RE Ch. 3 - Prob. 43RE Ch. 3 - Prob. 44RE Ch. 3 - Prob. 45RE Ch. 3 - Prob. 46RE Ch. 3 - Prob. 47RE Ch. 3 - Prob. 48RE Ch. 3 - Prob. 49RE Ch. 3 - Prob. 50RE Ch. 3 - Sidewalk Width. A 60-ft by 80-ft parking lot is...Ch. 3 - Prob. 52RE Ch. 3 - Prob. 53RE Ch. 3 - Prob. 54RE Ch. 3 - Prob. 55RE Ch. 3 - Prob. 56RE Ch. 3 - Prob. 57RE Ch. 3 - Prob. 58RE Ch. 3 - Prob. 59RE Ch. 3 - Prob. 60RE Ch. 3 - Prob. 61RE Ch. 3 - Prob. 62RE Ch. 3 - Prob. 63RE Ch. 3 - Prob. 1T Ch. 3 - Prob. 2T Ch. 3 - Prob. 3T Ch. 3 - Prob. 4T Ch. 3 - Prob. 5T Ch. 3 - Prob. 6T Ch. 3 - Prob. 7T Ch. 3 - Prob. 8T Ch. 3 - Prob. 9T Ch. 3 - Prob. 10T Ch. 3 - Prob. 11T Ch. 3 - Prob. 12T Ch. 3 - Prob. 13T Ch. 3 - Prob. 14T Ch. 3 - Prob. 15T Ch. 3 - Prob. 16T Ch. 3 - Prob. 17T Ch. 3 - Prob. 18T Ch. 3 - Prob. 19T Ch. 3 - The tallest structure in the United States, at...Ch. 3 - Prob. 21T Ch. 3 - Prob. 22T Ch. 3 - Prob. 23T Ch. 3 - Prob. 24T Ch. 3 - Prob. 25T Ch. 3 - Prob. 26T Ch. 3 - Prob. 27T Ch. 3 - Prob. 28T Ch. 3 - Prob. 29T Ch. 3 - Prob. 30T Ch. 3 - Prob. 31T Ch. 3 - Prob. 32T

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

The vertex of the function f ( x ) = − 3 x 2 − 3 x + 1 .

Solution Summary: The author explains how to convert the function f(x)=-3x,2,3x+1 into the completing square method.

Videos

The vertex of the function f(x)=−3x2−3x+1.

The axis of symmetry of the function f(x)=−3x2−3x+1.

To find: The maximum or minimum value of the function f(x)=−3x2−3x+1, if it exists.

To sketch: The graph of the function f(x)=−3x2−3x+1.

Want to see the full answer?

Chapter 3 Solutions