Question

The graphs below have the same shape. f(x) = x².
What is the equation of the graph of g(x)?
f(x)
g(x)
HT
10
5
A. g(x) = x² + 2
B. g(x) = (x + 2)2
C. g(x)=x²-2
D. g(x) = (x - 2)2
-5
-5-
-10
10

Answer 1

D. G(x)= (x-2)^2
A and B both have to do with shifting the y-axis when the graph shows a x-axis shift.
The inside of parenthesis is often reversed if what you would think it would be (- shifting right and + shifting left) a good test for this is now the point 2,0 should give g(2)=0 which happens in D.