8

Set 15: Quadratic Equations (Intermediate)

Explanation

Answer: A

What is the axis of symmetry for y=(x+4)2−3y = (x + 4)^2 - 3?

A.

x=−4x = -4

✓ Correct
B.

x=4x = 4

C.

x=−3x = -3

D.

x=3x = 3

Detailed Explanation

Choice A is correct. Choice A is the correct answer. The axis of symmetry is the vertical line passing through the vertex. 1. Identify vertex: h=−4h = -4, k=−3k = -3. 2. Axis equation: x=hx = h. 3. Result: x=−4x = -4. Choice B is incorrect because of sign error. Choice C is incorrect because it uses y-coordinate. Choice D is incorrect because it uses y-coordinate with sign error.

Key Steps:

•

The correct answer is x=−4x = -4

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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