Question

A parabola intersects the x-axis at x=−4 and x=8.

What is the equation for the axis of symmetry?
A. x = - 4 B. x = 0 C. x = 2 D. x = 6

Answer 1

C. x=2

Explanation:

(x+4)(x-8) = x²-4x-32 = (x-2)² - 36

vertex: (2,-36)

axis of symmetry: x = 2

Answer 2

C. x=2

Explanation:

The axis of symmetry divides the parabola into two equal parts. FRom point x=-4 to x=8, the difference is 12 units and the centre is6 units on each side. Using a number line, the axis of symmetry is at point x=2