Question

The graphs below have the same shape. What is the equation of the blue graph? G(x) =

A. G(x)= (x+4)^2
B.G(x)=x^2+4
C.G(x)= (x-4)^2
D.G(x)= x^2-4

Answer 1

C

Explanation:

G(x) is transformed from the parent function f(x)=x^2 by:

right 4 units

since we all know that the vertex form of a quadratic equation is y=a(x-h)^2+k

since 4 is h, and k is 0 ( graph is on the x-axis), we can write the equation of this graph:

g(x)=(x-4)^2, which is C