Question

which function transforms the graph of y=x^2 so that it is first shifted down 2 units and then reflected across the x axis?

Answer 1

a. y = -x^2 - 2
b. y = -(x+2)^2
c. y = -x^2 + 2
d. y = (-x)^2 +2

Answer 2

You simply minus 2 to x^2 to shift graph down two, then make x^2 negative to flip it over the x-axis. A would be correct.