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? a. g(x) is shifted 3 units left and 9 units up. b. g(x) is shifted 3 units right and 9 units up. c. g(x) is shifted 9 units left and 3 units down. d. g(x) is shifted 9 units right and 3 units down.

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

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.

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

We have then:

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

figure c

step-by-step explanation:

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step-by-step explanation: