Question

The function f(x) = x2 – 6x + 9 is shifted 5 units to the left to create g(x). what is g(x)?

a.g(x) = (x2 – 6x + 9) – 5
b.g(x) = (x – 5)2 – 6(x – 5) + 9
c.g(x) = (x + 5)2 – 6(x + 5) + 9
d.g(x) = (x2 – 6x + 9) + 5

Answer 1

g(x)=(x-5)^2-6(x-5)+9

Explanation:

Answer 2

The correct answer is C.  The form for shifts is (x-h)^2 +k where h=the x variable ( horizontal shift left or right) and k = the y  variable  (vertical shift up or down) The confusing part for many students is remember that if you are moving left it's subtraction So in the form x-h it is actually x - (-h) so it gets turned into a positive/ addition sign.