Question

The vertex form of a function is g(x) = (x – 3)2 + 9. How does the graph of g(x) compare to the graph of the function f(x) = x2?

Answer 1

right 3; up 9

Explanation:

Translation of a graph by (right, up) = (h, k) transforms the function to ...

g(x) = f(x -h) +k

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Compared to f(x), we see that ...

g(x) = f(x -3) +9

That means the graph of g(x) is shifted right 3 units and up 9 units from the graph of f(x).