Question

one x-intercept for a parabola is at the point (-6,0) find the other x-intercept for the parabola defined by this equation y=x^2+8x+12 separate the values by a comma

Answer 1

Hello.

First off, you can factor this equation to find the missing x-intercept.

y = x² + 8x + 12
y = (x + 6)(x + 2)

Then, you can use the zero product property to find the x values.

x + 6 = 0       x + 2 = 0
    - 6  - 6          - 2  - 2
x = -6            x = -2

As an ordered pair: (-6, 0) and (-2, 0)

Thus, your answer is x = -6, -2.