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

1-94.

Given

*f*(*x*) = (*x*− 3)^{2 }+ 4 and, find and simplify the following: Homework Help ✎ *h*(*x*)=*f*(*x*+ 2) − 5*k*(*x*) =*g*(3 −*x*) + 2Using set notation, find the domain and range for

*g*(*x*) and*k*(*x*).

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

Simplify.

(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.

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*)?