177,707 views
30 votes
30 votes
Describe the transformation of y=-2(x-2)^2 when compared to the parent function y=x^2

User Rfedorov
by
3.4k points

1 Answer

23 votes
23 votes

Answer:

Shifted to the right by 2 units

Vertically stretched by a factor of 2

Step-by-step explanation:

The transformed parabola given is different from the parent function in that is multiplied by 2 and there is 2 subtracted from the x -coordinate.

Subtracting 2 from the x-coordinate shifts the parent function to the right by 2 units.

Multiplying the parent function by 2 stretches it vertical by a factor of 2.

Therefore, when comparing the parent function y = x^2 and its transformed version y = 2 (x-2)^2, the latter can be described as:

The function y = y = 2 (x-2)^2 results when the parent function is

Shifted to the right by 2 units

Vertically stretched by a factor of 2

User Jens Borgland
by
2.9k points