5
advanced-math

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

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

Correct Answer: A

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.

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Set 10: Quadratic Equations and Functions 10