Question

What polynomial function could be represented by the graph below

(A). F(X)=x^2+x-2
(B). F(X)=2x^2+2x-4
(C). F(X)=x^2-x-2
(D). F(X)=2x^2-2x-4

Answer 1

(B). F(X)=2x^2+2x-4

Explanation:

-4 means it passes through -4 at the y axis

B and D have -4

graph passes thru x axis at -2 and 1

if you enter x = -2 or 1 in the formula

(B). F(X)=2x^2+2x-4

you get 0

it's not D because when you enter -2 or 1 for x

you don't get 0

you get 8 and -4

Answer 2

Answer: (B). F(x) = 2x² + 2x - 4

Explanation:

Let us think about the parent function F(x) = x² to pick our answer.

Options A and C have only shifted 2 units down (showed by the "-2" at the end) and the function graphed is shifted four units down.

Between options B and D, one is shifted 2 units to the right, and one is shifted 2 units to the left. We need the one shifted 2 units to the left. This is shown by the "+2x" in option B meaning it is our answer.