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In Exercises 7-12, match the quadratic function with its graph. [The graphs are labeled (a), (b), (c), (d), (e), and (f).]

$ f(x) = -(x - 4)^2 $

Graph d

Algebra

Chapter 2

Polynomial and Rational Functions

Section 1

Quadratic Functions and Models

Quadratic Functions

Complex Numbers

Polynomials

Rational Functions

Oregon State University

Harvey Mudd College

University of Michigan - Ann Arbor

Idaho State University

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so notice that this graph f could be obtained by the graph of y equals X squared the standard problem here. So first you would go ahead and subtract four from the ex. This will give you a four units shift to the right, and then after that, we multiplied the entire expression by a negative one. And what this does is it reflects the graph the previous Raph, about the X axis. So here's a very rough sketch of what's going on. We have our standard problem. Y equals X squared. This was the starting point. And then after that, we shifted into the right by four. And then the last thing we did after that was multiplied by a negative one. And that went ahead and reflected the graph about the X axis. And if you look in your book, the only graph that looks like the blue one is the one labeled D. So that's our final answer.

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