10
advanced-math

Which transformation maps y=x2y = x^2 to y=(x+1)2−1y = (x + 1)^2 - 1?

A

Left 1, Down 1

B

Right 1, Down 1

C

Left 1, Up 1

D

Right 1, Up 1

Correct Answer: A

Choice A is the correct answer.

  1. Inside the parenthesis: x+1x + 1 indicates a horizontal shift Left 1.
  2. Outside the parenthesis: −1-1 indicates a vertical shift Down 1.

Choice B is incorrect because right shift would be x−1x-1. Choice C is incorrect because up shift would be +1+1. Choice D is incorrect because of both errors.

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Set 7: Quadratic Equations and Functions 7