Question

Which polynomial function could be represented by the graph below?

Answer 1

Answer: B:
`f(x) = x^2 - 4x-5`

Explanation:

Lets write this first in vertex form:

We know the vertex of this function is at (2, -9)

this gives us h,k values. Since there is no stretch or compression, and no negative coefficient we can simply plug in:

f(x) =
`(x-2)^2 - 9`

Expanding this, we get answer B.