Question

The graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k:

What is the value of h?

A) −3
B) −2
C) 2
D) 3

Answer 1

C) 2

Because the graph of x^2 is moved 2 to the right.

Answer 2

C) 2

Explanation:

we are given

parent function as

`f(x)=x^2`

Firstly, we can identify vertex

`f(x)=1(x-0)^2+0`

so, vertex is (0,0)

and we know that vertex form of parabola is

`f(x)=a(x-h)^2+k`

where (h,k) is a vertex

we can see the graph

vertex is (2,3)

so, (h,k)=(2,3)

`h=2`