Question

Write a quadratic function in intercept form with x-intercepts at (8,0) and (-2, 0) and passing through the point (4, -8). -​

Answer 1

y = 1/3(x -8)(x +2)

Explanation:

When the function has x-intercept p, it has a factor (x -p). The two x-intercepts mean we can write the factored form as ...

y = a(x -8)(x +2)

Using the given point, we can find the value of 'a'.

-8 = a(4 -8)(4 +2) = -24a

a = -8/-24 = 1/3

In intercept form, the function is ...

y = 1/3(x -8)(x +2)