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.

ANSWER

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

EXPLANATION

The vertex form of the given function is

The parent function is

The transformation is of the form;

f(x-a)+k,

This is a shift to the right by 'a' units and an upward shift of k units.

This shifts the graph of ,f(x) 3 units to the right and 9 units up.

The correct choice is B.

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

your answer is the frist one

hop i