What kind of function is this?

Question

What kind of function is this?

Write an equation to model the data.

(-4,-32),(-2,-8),(0,0),(2,-8),(4,-32)

Answer 1

Hi Sydney,

 

This is a quadratic function. The equation of the function is y = -2x². 

I knew it couldn't be a line because after x becomes positive, the y values still remain negative. It has to be a curve and we are also given that it never goes above y=0 so it has to go downward. Hence the negative coefficient.