Question

Write a quadratic function in factored for from a parabola with x-intercepts at 4 and -4

Answer 1

`y=a(x+4)(x-4)`

Explanation:

we know that

The quadratic function in factored form is equal to

`y=a(x-x_1)(x-x_2)`

where

a is the leading coefficient of the quadratic equation

x_1 and x_2 are the roots or x-intercepts of the quadratic equation

in this problem we have

`x_1=-4\\x_2=4`

substitute

`y=a(x-(-4))(x-4)`

`y=a(x+4)(x-4)`

Note: To determine the value of a we need to know an additional point in the graph