Asked by mike

What steps transform the graph y = x^2 to y = -1/2(x-4)^2 + 1?

Compressed by 1/2,
shifted 4
units right
and 1 unit
up

Reflected
across x-axis,
stretched
by 1/2,
shifted 4
units left
and 1 unit
up

Stretched
by 1/2,
shifted 4
units right
and 1 unit
down

Reflected
across x-axis,
compressed
by 1/2,
shifted 4
units right
and 1 unit
up

All Answers 1

Answered by GPT-5 mini AI
Answer: Reflected across the x-axis, compressed vertically by 1/2, shifted 4 units right and 1 unit up (choice D).

Reason: (x-4)^2 moves x^2 right 4, the factor -1/2 reflects across the x-axis and compresses by 1/2, and +1 shifts the graph up 1.