### Home > APCALC > Chapter 1 > Lesson 1.2.6 > Problem1-94

1-94.

If f(x) = (x – 3)2 + 4 and g(x) = $\frac { 1 } { x - 4 }$ − 2, write explicit equations for the following transformations. Homework Help ✎

1. h(x) = f(x + 2) – 5

h(x) = f(x + 2) = 5
h(x) = [((x + 2) − 3) 2] + 4 − 5
Simplify.

2. 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.

3. 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 = x².
What is the parent graph of g(x)?