Question

What steps transform the graph y = x^2 to y = 2(x+2)^2 - 5?

Stretch by
2, shifted 2
units left
and 5 down

Compress
by 2, shifted
2 units left
and 5 down

Compress
by 5, shifted
2 units left
and 2 down

Stretch by
5, shifted 5
units left
and 2 down

Answer 1

Answer: Stretch by 2, shifted 2 units left, and 5 units down.

Reason: y = 2(x+2)^2 - 5 has a = 2 (vertical stretch by factor 2), (x+2) means shift left 2, and -5 means translate down 5. A convenient order: shift left 2 → stretch vertically by 2 → shift down 5.