3
advanced-math

Find the x-intercepts of y=2x28y = 2x^2 - 8.

A

(±2,0)(\pm 2, 0)

B

(4,0)(4, 0)

C

(±4,0)(\pm 4, 0)

D

(2,0)(2, 0)

Correct Answer: A

Choice A is the correct answer. Set y=0y=0 and solve for x.

  1. 2x28=02x^2 - 8 = 0.
  2. Add 8: 2x2=82x^2 = 8.
  3. Divide by 2: x2=4x^2 = 4.
  4. Square root: x=±2x = \pm 2.

Choice B is incorrect because it forgets square root. Choice C is incorrect because it forgets to divide by 2. Choice D is incorrect because it misses negative root.