# What is the equation of the parabola with axis intercepts of #x=2#, #x=-4#, and #y=4#?

##### 1 Answer

May 22, 2018

#### Explanation:

The

So our equation can be written something like:

#y = a(x-2)(x+4)#

for some constant

Putting

#color(blue)(4) = a(color(blue)(0)-2)(color(blue)(0)+4) = -8a#

Hence

#y = -1/2(x-2)(x+4) = -1/2(x^2+2x-8) = -1/2x^2-x+4#