Question

Which function rule matches the graph below?

Question 8 options:



f(x) = x2



f(x) = 5x2



f(x) = x2 - 5



f(x) = x2 + 5

Answer 1

The correct option is C)
`f(x)=(x)^2-5`.

Explanation:

Consider the provided graph:

The provided graph is a graph of a parabola with vertex at (0,-5).

The vertex form of a parabola is:

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

Where, (h,k) are the vertex of the parabola.

From the provided graph the vertex is (0,-5)

Substitute a = 1 h = 0 and k = -5 in the vertex form.

`f(x)=(x-0)^2-5`

`f(x)=(x)^2-5`

Thus, the correct option is C)
`f(x)=(x)^2-5`.

Answer 2

f(x) = x^2 - 5

We know this because x^2 represents a parabola and the -5 represents the change in the y-direction.