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
f(x) = x2?

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.

Answer 1

g(x) = (x − 3)^2 + 9 is in vertex form (x − h)^2 + k with h = 3, k = 9, so the parabola is shifted 3 units right and 9 units up from f(x) = x^2.