4

Set 13: Quadratic Equations

Explanation

Answer: A

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

A.

(2,5)(2, 5)

✓ Correct
B.

(−2,5)(-2, 5)

C.

(2,−5)(2, -5)

D.

(−2,−5)(-2, -5)

Detailed Explanation

Choice A is correct. 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.

Key Steps:

•

The correct answer is (2,5)(2, 5)

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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