Question

Find the x-intercepts for the parabola defined

by this equation:
y=-4x2 - 4x + 8
Write your answer as two ordered pairs:
(x1, y1), (x2, y2)
Separate the values with a comma. Round, if
necessary, to the nearest hundredth.
Enter the correct answer,

Answer 1

(- 2, 0 ), (1, 0 )

Explanation:

Given

y = - 4x² - 4x + 8

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

- 4x² - 4x + 8 = 0 ( divide all terms by - 4 )

x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

Thus the x- intercepts are (- 2, 0 ), (1, 0 )