8
advanced-math

Find the intersection of y=x2y = x^2 and y=2x−1y = 2x - 1.

A

(1,1)(1, 1)

B

(1,2)(1, 2)

C

(−1,−3)(-1, -3)

D

No intersection

Correct Answer: A

Choice A is the correct answer.

  1. x2=2x−1x^2 = 2x - 1.
  2. x2−2x+1=0x^2 - 2x + 1 = 0.
  3. (x−1)2=0⇒x=1(x - 1)^2 = 0 \Rightarrow x = 1.
  4. Substitute: y=2(1)−1=1y = 2(1) - 1 = 1.
  5. Point: (1,1)(1, 1).

Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

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Set 13: Quadratic Equations and Functions 13