2
advanced-math

Which equation represents y=x2y = x^2 shifted down 5 units?

A

y=x2−5y = x^2 - 5

B

y=x2+5y = x^2 + 5

C

y=(x−5)2y = (x - 5)^2

D

y=(x+5)2y = (x + 5)^2

Correct Answer: A

Choice A is the correct answer. Vertical shifts are represented by the constant kk added outside the squared term (y=x2+ky = x^2 + k).

  1. To shift down 5 units, we subtract 5.
  2. Result: y=x2−5y = x^2 - 5.

Choice B is incorrect because this shifts up. Choice C is incorrect because this shifts right. Choice D is incorrect because this shifts left.

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Set 7: Quadratic Equations and Functions 7