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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 + 1)^2 - 2 $

a

Algebra

Chapter 2

Polynomial and Rational Functions

Section 1

Quadratic Functions and Models

Quadratic Functions

Complex Numbers

Polynomials

Rational Functions

Missouri State University

McMaster University

Harvey Mudd College

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Let's match this quadratic with its graph. Well, a natural way to graft. This function here is to start with the graph of X square and to apply the transformations right. So first we add one to X. And so this is a shift to the left by one unit. And then also we subtract two not from the eggs, but from the entire function. And so this is a shift down by two. So what this means is, if you started with the original graph that square, you would shift it over one unit in the ex direction and the left. And then you would also shifted down by two. That puts your vortex at the point minus one minus two. And here's our so this blue, this would be our graph. And if you look at the graphs in the book, the one that looks like our bollegraf is given by Graf. Eh? So that's our answer.

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