Question

Create a function that could represent the following transformation of y=x². Vertical reflection over the x-axis, vertical translation up by 2 and a horizontal translation left by 5.

Answer 1

Start with y = x^2.

Vertical reflection over the x-axis: y = -x^2

Vertical translation up by 2: y = x^2 + 2

Horiz. transl. left by 5: y=(x+5)^2