4
advanced-math

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

A

x=−4x = -4

B

x=4x = 4

C

x=−3x = -3

D

x=3x = 3

Correct Answer: A

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.

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