Question

Any help is appreciated!

Graph each function. Describe each transformation of the parent function f(x) = x².

f(x) = (x − 9)² + 2

Answer 1

Happy New Year from MrBillDoesMath!

Discussion:

Parent function = f(x) = x^2

Move parent function 9 units to the right (along positive x axis). This gives (x-9)^2. Then raise that function 2 units in the positive y direction. This gives (x-9)^2 +2. So the final function looks like f(x) = x^2 but is translated 9 units to the right along the positive x axis and 2 units upward along the positive y axis.

Thank you,

MrB