Question

PLS HELP ME WITH THIS!!!!

Answer 1

Answer: g(x)=h(x-7) +5

Explanation:

The graph g(x) has been shifted up 5 (+5) and right 7

When shift a function, the y change, up/down, goes at end of function

When shift in x direction happens, you take opposite sign so we will do -7

g(x)=h(x-7) +5

Answer 2

g(x) = h(x -7) +5

Explanation:

Given h(x) defines a parabola that opens upward with a vertex at (-2, -7) and g(x) defines the same parabola with its vertex at (5, -2), you want to express g(x) in terms of h(x).

Translation

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

f(x -h) +k

We see that g(x) is a translation of h(x) right by 7 units and up by 5 units. This means (h, k) is (7, 5), and the translated function is ...

g(x) = h(x -7) +5

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Additional comment

This is confirmed by the plots in the second attachment.