It's a quadratic so the parent function will be [tex]y = x ^{2} [/tex] We can see that it has been shifted to the right 5 units, which gives us a new function [tex]y = (x - 5) ^{2} [/tex] It has also been shifted up 9 units: [tex]y = (x - 5) ^{2} + 9[/tex] But it has also been flipped across the y-axis which makes this the final change we need to do: [tex]y = - (x - 5) ^{2} + 9[/tex]
