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)=x??
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g(x) is shifted 3 units left and 9 units up.
g(x) is shifted 3 units right and 9 units up.
g(x) is shifted 9 units left and 3 units down.
g(x) is shifted 9 units right and 3 units down.

it is shifted 3 units right and 9 units up

Explanation:

the nine on the outside symbolizes your vertical (y) axis movement. So any number where that nine would be is either up or down. So since it is a positive nine it would go up nine, however if it were to be a negative number it would go down. The number in the parenthesis is a little different because if it is a negative 3 you would go right. anything in parenthesis that is a negative goes right. Now, if something is positive, for example, positive 3 it would go left 3 units. hope this helps

no sé si entiendes español pero te daría la respuesta si lo supiera, pero lo siento mucho