4

Set 13: Quadratic Equations (Intermediate)

Explanation

Answer: A

Which equation represents the graph of y=x2y = x^2 shifted right 2 and down 3?

A.

y=(x−2)2−3y = (x - 2)^2 - 3

✓ Correct
B.

y=(x+2)2−3y = (x + 2)^2 - 3

C.

y=(x−2)2+3y = (x - 2)^2 + 3

D.

y=x2−2x−3y = x^2 - 2x - 3

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Right 2: h=2h = 2, so we use (x−2)2(x - 2)^2. 2. Down 3: k=−3k = -3, so we subtract 3. 3. Combine: y=(x−2)2−3y = (x - 2)^2 - 3. Choice B is incorrect because it shifts left. Choice C is incorrect because it shifts up. Choice D is incorrect because it is standard form for different roots.

Key Steps:

•

The correct answer is y=(x−2)2−3y = (x - 2)^2 - 3

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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