Question

Which of the following describes the translation of the graph of y = x 2 to

obtain the graph of y = -x 2 - 3?

reflect over the x-axis and shift left 3
reflect over the x-axis and shift down 3
reflect over the y-axis and shift down 3

Answer 1

reflect over the x-axis and shift down 3

Explanation:

The leading coefficient of -1 means the graph is reflected over the x-axis. The addition of -3 to the function means each graphed point is shifted down 3 units from the original.

The graph of y = -x^2 -3 is the result of the transformation ...

reflect over the x-axis and shift down 3