8

Set 5: Quadratic Equations

Explanation

Answer: A

Find the y-intercept of y=3(x−2)2+1y = 3(x - 2)^2 + 1.

A.

(0,13)(0, 13)

✓ Correct
B.

(0,1)(0, 1)

C.

(0,−11)(0, -11)

D.

(0,5)(0, 5)

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Substitute x=0x = 0 to find the y-intercept. 1. y=3(0−2)2+1y = 3(0 - 2)^2 + 1 2. y=3(−2)2+1y = 3(-2)^2 + 1 3. y=3(4)+1y = 3(4) + 1 4. y=12+1=13y = 12 + 1 = 13 The point is (0,13)(0, 13). Choice B is incorrect because it uses the k-value (vertex y). Choice C is incorrect because of calculation errors. Choice D is incorrect because it calculates 3(−2)+1=−53(-2)+1 = -5.

Key Steps:

•

The correct answer is (0,13)(0, 13)

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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