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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 - 2)^2 $
Graph e
Algebra
Chapter 2
Polynomial and Rational Functions
Section 1
Quadratic Functions and Models
Quadratic Functions
Complex Numbers
Polynomials
Rational Functions
Missouri State University
Baylor University
University of Michigan - Ann Arbor
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Let's go ahead and give a rough sketch of this graph so that we could match it with one the grafts from the book. So here, the way to graft this f is the first. Just look at the graph of X squared. We remember this graph. This's just their usual proble with the first six at the origin. So this is not our graph, but this is the graph that will start with and then noticed that your graph, you're doing the minus two there. So this is a shift two units to the rain. So if we took each graph each point on the red graft and shifted into over to the right, you see that the Vertex ends up over here at two and you can also you see that this point will end up over here. The point one one would become three one and so on, and so were able to give a rough sketch here. So basically the whole problem, I shifted over to units to the right. And if we look at the graphs in the book, we see that the only one that looks like the blue graph F of X is the graph e. So that's our final answer
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