Question

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

f(x) = x2
g(x) = x2 − 12x + 36

In which direction and by how many units should f(x) be shifted to obtain g(x)?

Left by 18 units
Right by 18 units
Left by 6 units
Right by 6 units

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.

Answer 2

Answer:

D is correct

Step-by-step explanation:

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