Question

What does the graph of f(x)=(x-3)^2+12 look like

Answer 1

see attached for a graph

Explanation:

When g(x) is transformed to

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

The graph of g(x) is translated h units right and k units up.

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Here, the function g(x) = x^2 is transformed to ...

f(x) = g(x -3) +12 = (x -3)^2 +12

Then the graph of f(x) is the graph of g(x)=x^2 translated 3 units right and 12 units up.