Set 4: Quadratic Equations

Explanation

Answer: A

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

Left 1, Down 1

✓ Correct

Right 1, Down 1

Left 1, Up 1

Right 1, Up 1

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Inside the parenthesis: $x + 1$ indicates a horizontal shift Left 1. 2. Outside the parenthesis: $-1$ indicates a vertical shift Down 1. Choice B is incorrect because right shift would be $x-1$ . Choice C is incorrect because up shift would be $+1$ . Choice D is incorrect because of both errors.

Key Steps:

•

The correct answer is Left 1, Down 1

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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