1
advanced-math

Find the vertex of y=3(x−2)2+5y = 3(x - 2)^2 + 5.

A

(2,5)(2, 5)

B

(−2,5)(-2, 5)

C

(2,−5)(2, -5)

D

(−2,−5)(-2, -5)

Correct Answer: A

Choice A is the correct answer. The equation is in vertex form y=a(x−h)2+ky = a(x-h)^2 + k. We can read the vertex (h,k)(h, k) directly.

  1. x−2x - 2 implies h=2h = 2.
  2. +5+ 5 implies k=5k = 5.
  3. Vertex is (2,5)(2, 5).

Choice B is incorrect because of sign error on x. Choice C is incorrect because of sign error on y. Choice D is incorrect because of sign errors on both.

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Set 10: Quadratic Equations and Functions 10