2015­12­10 translations day 1.notebook
Today is Thurs
12/10
Do Now:
-Take out HW
-TEST on Tuesday
-Copy down HW
-Take graphing calculator
HW Answers
1) (3,3) (9,3) 2) (­3, 9) (1,1)
3) (­.5, 3.5)
4) approx. (1.2, 2) and (6,2)
5) (­1, 1) and (1,1)
6)(­2, 7)
December 10, 2015
2015­12­10 translations day 1.notebook
December 10, 2015
Lesson 17: Four Interesting Transformations of
Functions Day 1
Student Outcomes
Students will examine vertical translations of absolute
value functions
Students will examine vertical scaling of absolute value
functions
But first....a squirrel who can water ski
2015­12­10 translations day 1.notebook
December 10, 2015
A parent function is the general shape of a particular
function. The chart below shows some examples of
parent functions.
y=x
y = x2
y = bx
Describe the parent function of an absolute value graph.
What is the parent function?
Graph the function y = lxl - 2 and y = lxl + 3
with the parent function y = lxl
2015­12­10 translations day 1.notebook
December 10, 2015
Describe the change in the graph?
"Vertical Shift"
y = lxl + c shift upwards
y = lxl - c shift downwards
Graph the y = 2lxl and y = 0.5lxl, compare
them to the parent function
2015­12­10 translations day 1.notebook
December 10, 2015
Describe the change in the graphs
Vertical Stretch or Shrink
y = alxl where a > 1 then vertical stretch
y = alxl where 0< a <1 then vertical shrink
Describe the change in the graph of the
following from the parent function:
y = 3lxl
y = lxl - 5
y = 0.4lxl + 1
2015­12­10 translations day 1.notebook
December 10, 2015
Use your graphing calculator to check your
predicitions
In summary......
2015­12­10 translations day 1.notebook
December 10, 2015