Question

Functions f(x) and g(x) are shown:

Answer 1

Answer:

Shifted right 6 units.

Step-by-step explanation:

$g$ can be written as a squared binomial since it is of the form:

$x^2+2ax+a^2$ which can be written as $(x+a)^2$.

When comparing the expression to the trinomial just mentioned it should be noted that $a$ is -6. So $g$ can be written as: $g(x)=(x-6)^2$.

Note: Vertex form of a quadratic is $y=a(x-h)^2+k$ where (h,k) is the vertex.

The vertex of the parent is (0,0) and the vertex of $g$ is (6,0). So the parent has shifted right 6 units to get to where $g$ is located.