Question

Find the x-intercepts for the parabola defined

Answer 1

Answer:

(- 3, 0 ) and (1, 0 )

Step-by-step explanation:

Given

y =2x² + 4x - 6

To find the x- intercepts let y = 0, that is

2x² + 4x - 6 = 0 ← divide all terms by 2

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

The x- intercepts are (- 3, 0 ) and (1, 0 )