Question

Which of the following describes the transformation of the graph y = x 2 in graphing y = -x 2 - 5?

Answer 1

First the graph was flipped vertically over the Y-Axis, then it was moved down five positions.

Answer 2

Reflection over x axis and translate 5 units down vertically

Explanation:

y=x^2

Transform y=x^2 to y=-x^2-5

To get -x^2 we multiply x^2 by -1

y ----> -y, Reflection over x axis

so y=x^2 becomes y =-x^2

WE have -5 at the end

y--> y-5, for -5 the graph will be shifted 5 units down

y=-x^2 becomes y =-x^2-5

Two transformation takes place to get y=-x^2 - 5

Reflection over x axis and translate 5 units down vertically