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Matching In Exercises $7-12,$ match the quadraticfunction with its graph. [The graphs are labeled (a), (b),$(\mathbf{c}),(\mathbf{d}),(\mathbf{e}),$ and $(\mathbf{f}) . ]$

$$f(x)=(x-2)^{2}$$

$f(x)=(x-2)^{2}$ opens upward and has vertex (2,0)Matches graph (e). it is a parabola.

Algebra

Chapter 2

Polynomial and Rational Functions

Section 1

Quadratic Functions and Models

Exponents and Polynomials

Polynomials

Rational Functions

Missouri State University

Campbell University

University of Michigan - Ann Arbor

Lectures

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Matching In Exercises $7-1…

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In Exercises 7-12, match t…

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In Exercises 7 - 12, ma…

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all right. So when we look at the formula for a quadratic function, we have eight times x minus age squared, plus K, where the HK in the formula represents the Vertex or the turning point of the problem. So if I have a proble whose equation is X minus two squared, this is technically X minus two squared 40 So, in other words, H is too. K is zero. So we're talking about a problem whose Vertex is going to be at the coordinate to zero and coincidentally, it's gonna have a Y intercept If I plug zero and for acts, f of zero is gonna be zero minus two squared negative two squared is going to before. So what that means is, when I look at what this graph should look like, I will have a coordinate here at 20 when I have another one at 04 and because we know Preval's, they're symmetrical. I know. I'm gonna have a coordinate at 44 So we have a problem. Uh, that should be doing something like that right there. And that's the graph you're gonna be looking for to match up with f of X equals X minus two squared

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