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

Answer 1

The  -3 shifts the graph 3 units to the right
and The + 9 moves the graph upwards 9 units

Its B

Answer 2

For this case we have that the main function is given by:

$f (x) = x ^ 2$

First, we apply the horizontal transformation. To do this, we evaluate the function for x-3, that is, we move the graph 3 units to the right.

$f (x-3) = (x-3) ^ 2$

We apply the vertical transformation. To do this, add to the function 9 units, that is, we move the graph 9 units up.

$f (x-3) +9 = (x-3) ^ 2 + 9$

We have then:

$g (x) = (x-3) ^ 2 + 9$

Answer:

B.g (x) is shifted 3 units right and 9 units up.