HELP ASAP 2.The diagram on the right shows the graph ofy=x³-3x²-2x+2.(a)The above polynomial function can be written asy=(x+1)(ax²+bx+c), find the values of a, b and c.6042-241 0123-2-4-6-8(b)A new functiony= g(x) is obtained by applying the following transformations toy=x³-3x²-2x+2:(i)A translation to the right by 1 unit.(ii)A reflection over the x-axis.Determine the equation of g(x).

Step 1: Given function, y=x3−3x2−2x+2 Step 2: a) The above polynomial can be written as…

Answered: 2. The diagram on the right shows the…

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter9: Quadratic Equations And Functions

Section9.7: Graph Quadratic Functions Using Transformations

Problem 362E: Graph the quadratic function f(x)=2x24x3 first using the properties as we did in the last section...

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Similar questions

Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b) y=2x4+12x+100 End behavior: y as x y as x
Graph f(x)=3x2+12x4 by using transformations.
Find the product of x2+3y and x23y.
Explain why a polynomial function of odd degree must have at least one zero.
Find a fourth-degree polynomial function f with real coefficients that has 2, 2, and 7i as zeros.
Graph the quadratic function f(x)=2x24x3 first using the properties as we did in the last section and then graph it using transformations. Which method do you prefer? Why
What can we conclude about the polynomial represented by the graph shown in Figure 14 based on its interceptsand turning points?.
Analyze each polynomial function
Given the function: f(x)= (x + 5)2(x - 3)3, which finite differences will be equal (or constant)? Enter a single integer value representing the finite difference number. Your Answer: Answer A family of polynomials has equation y = k(x - 4)(x + 1)2. What is an equation for the family member whose graph passes through the point (2, -54)? Onone of the above Oy--3(x- 4)(x + 1)? y-3(x-4)(x+ 1) 1 Oy- 70 225 (x-4)(x+ 1)2
13
Consider the following polynomial: h(x)=2(x-1)2(x+1)3(x-2)(x+2) Find the x-intercepts, their multiplicity and their behavior (touch/cross). Find the y-intercept. Find the leading term. Determine the end behavior. Enter the zeroes below: Zero (smallest to largest) Multiplicity Behavior (Enter t for touch, and c for cross) The y-intercept is (0,). The leading term is: . (if the leading term is say 2x^2 type it just like that). End Behavior: (use two letter o's for infinity and a minus then two letter o's for negative infinity. as x->oo, f(x)-> as x->-oo, f(x)->
Complete the table below Leading Coefficient y-intercept Polynomial Function Degree X-intercepts Sketch of the graph 1. y = (x+5)(x+3)(x+1) 2. y = -2(2x+5)(x+1)(x-2)(x-4) 3. y = -x(x+2)(x -3)°(x-5) 4. y= (x+4)(x+1)'(x-1)*(x-2)*(x-4) 5. y = 2x + 5x"- 9x- 19x- x + 6

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