7

Set 5: Quadratic Equations (Intermediate)

Explanation

Answer: A

Which equation represents a parabola shifted left 3 and up 2?

A.

y=(x+3)2+2y = (x + 3)^2 + 2

✓ Correct
B.

y=(x−3)2+2y = (x - 3)^2 + 2

C.

y=(x+3)2−2y = (x + 3)^2 - 2

D.

y=(x−3)2−2y = (x - 3)^2 - 2

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Left 3: Replace xx with (x−(−3))=(x+3)(x - (-3)) = (x + 3). 2. Up 2: Add 2 to the end of the function. 3. Combine: y=(x+3)2+2y = (x + 3)^2 + 2. Choice B is incorrect because it shifts right. Choice C is incorrect because it shifts down. Choice D is incorrect because it shifts right and down.

Key Steps:

•

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

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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