Question

Which equation best represents the graph shown below?

Answer 1

x to the power of 2 equals 3

Explanation:

because

Answer 2

f(x) = x^2 - 2

Explanation:

This looks like a parabola with the vertex at (0, -2)

It also goes through points (1, -1) and (-1, -1)

The equation: f(x) = a (x - h)^2 + k

f(x) = a x^2 - 2

we see f(1) = -1 = a (1)^2 - 2 ,

-1 = a - 2, a = 1

so f(x) = x^2 - 2