Algebra 2 300
Absolute Value Functions & Transformations
pp.86-98
The parent function for the absolute
| |.
value family is
Directions for #1-2 : Consider the graphs of each function below. Answer the questions that follow.
#1:
a) Describe the transformations of the parent function,
.
b) Write the equation for the related function,
c) State the domain of the related function.
.
d) State the range of the related function.
e) State the coordinates of the y-intercept and x-intercept(s) of the related function.
f) Find
3 algebraically. Check your solutions graphically.
g) Find all values of x for which
7 algebraically. Check your solutions graphically. Algebra 2 300
Absolute Value Functions & Transformations
pp.86-98
#2.)
a) Describe the transformations of the parent function,
b) Write the equation for the related function,
.
.
c) State the domain of the related function.
d) State the range of the related function.
e) State the coordinates of the y-intercept of the related function.
f) State the coordinates of x-intercept(s) of the related function.
g) Find
6 algebraically. Check your solution graphically.
h) Find all values of x for which
4 algebraically. Check your solution(s) graphically.
Algebra 2 300
Absolute Value Functions & Transformations
pp.86-98
Directions: Graph each function.
#3: a.
c. f ( x) = −
|
3|
b. m( x) =
4
2
x+3 +5
3
d. p ( x ) = 3 x + 2 − 4
Direction: Write the equation that corresponds with each function.
#4:
1
x −2 −5
3
#5:
Algebra 2 300
Absolute Value Functions & Transformations
pp.86-98
Directions: Read each word problem and answer the questions that follow. Be sure to label the axes
for all graphs.
#6: The roof of a building can be modeled by the function y = −
4
x − 9 + 12 where x and y are
3
measured in feet and x-axis represents the base of the roof.
a. Graph the function.
b. Write and interpret the domain and range for this
function.
#7: A sporting goods store sells bathing suits year round. The number of suits can be modeled by the
function s (t ) = −90 t − 6 + 540 , where t is the time in months and s is the sales in dollars.
a. Graph the functions for 0 ≤ t ≤ 12 .
b. What is the maximum sales in one month? In what
month was is the maximum reached?