### Home > APCALC > Chapter 1 > Lesson 1.2.6 > Problem 1-94

1-94.

If *f*(*x*) = (*x* – 3)^{2} + 4 and *g*(*x*) =

*h*(*x*) =*f*(*x*+ 2) – 5*h*(*x*) =*f*(*x*+ 2) = 5*h*(*x*) = [((*x*+ 2) − 3)^{ 2}] + 4 − 5

Simplify.*k*(*x*) =*g*(3 –*x*) + 2(3 −

*x*), the horizontal shift, will replace '*x*' in the*g*(*x*) function.

+2, the vertical shift, will be added to the entire '*g*(*x*)' function.Use set notation to state the domains and ranges of

*h*and*k*.Consider the parent graphs of

*f*and*g*.

Domain and range will shift from that of the parent.

The parent graph of*f*(*x*) is*y*=*x*².

What is the parent graph of*g*(*x*)?