5
advanced-math

At which points do the parabola y=x2y = x^2 and line y=4y = 4 intersect?

A

(2,4)(2, 4) and (−2,4)(-2, 4)

B

(2,4)(2, 4) only

C

(4,16)(4, 16) and (−4,16)(-4, 16)

D

(4,2)(4, 2) and (4,−2)(4, -2)

Correct Answer: A

Choice A is the correct answer.

  1. Set equal: x2=4x^2 = 4.
  2. Solve: x=±2x = \pm 2.
  3. Points: Since yy is always 4, the points are (2,4)(2, 4) and (−2,4)(-2, 4).

Choice B is incorrect because it misses the negative x. Choice C is incorrect because it uses x=4. Choice D is incorrect because it swaps x and y.

Next
Question 6 →
Back to Set
Set 13: Quadratic Equations and Functions 13