Question

Find the equation for the quadratic function whose x-intercepts are -1 and 3with the leading coefficient is 2

Answer 1

y = 2x² + 8x + 6

Explanation:

given x = - 1 and x = - 3 are x- intercepts then

(x + 1) and (x + 3) are factors and

y = a(x + 1)(x + 3)

given a = 2, then

y = 2(x² + 4x + 3)

= 2x² + 8x + 6