Question

Which of the following describes the transformation of the graph y = x2 in graphing y = -x2 - 5? reflect over the x-axis and shift down 5 reflect over the y-axis and shift down 5 reflect over the x-axis and shift left 5

Answer 1

first answer.

reflect over the x axis, (since its -x) then shift down five units, (since its -5)

Answer 2

Let f(x) = x². Then
y = -f(x) -5

The negative sign in front of f(x) means the graph is reflected across the x-axis. The addition of -5 means the graph is shifted down 5 units.

the 1st selection is an appropriate description.