1. Welcome! September 27, 2017 Grab your Nspire (check number)
I can perform reflections across the x-axis and/or stretches away from or toward the x-axis.
Grab your Nspire (check number)
Book, graph paper out
3.1 Homework Questions
3.1 HW Quiz ~ Thursday
3.2 ~ Stretching and Flipping Up and Down
3.2 Practice
Homework: pg , handout

2. Warm Up: Use your Expo markers to write on your desk and complete the following. Silently!!
Graphs Go Here
Describe each transformation here
Write the coordinate rules
Write the algebraic expressions
Draw a picture like the one to the right
Draw in the top left box.
In the top left box, draw two parabolas which open up:
#1) A parabola g(x) with vertex at (0, 4)
#2) A parabola h(x) with vertex at (0, -3)
In the top right box, describe the transformation in words
In the bottom left box, write the coordinate rules in the form:
In the bottom right box, write the algebraic expressions
𝑓(𝑥)= 𝑥 2
𝑥,𝑦)→( ,

3. Warm Up: Partner Check
Rotate two desks counter-clockwise. Check your tablemate’s work! Feel free to write comments on their work (respectfully). Have a discussion about what you think they did correctly or where they need some extra help! (Be constructive!)

4. Warm Up: Answer Key Graphs Go Here Describe each transformation here
Write the coordinate rules
Write the algebraic expressions

5. 3.2 – Stretching and Flipping Up and Down Multiplicative Transformations of Functions
If graphs of functions are related by stretching away from or toward the x-axis and/or reflecting across that axis, how are the expressions related?

6. Launch Video
m/main.html?r=24369&p=865

7. Turn to page 52 in your FJ book
Study the functions in the diagram. Think about how stretching or shrinking a graph vertically changes its algebraic expression. How could you write g(x) or h(x)?

8. Problem 3.1, pg. 52 A-D Go ahead and try it out with your tablemates!
Show all work!

9. Problem 3.2 A (pg. 52)
Complete a table of sample values for the functions f(x), g(x), and h(x) graphed on page 52. x -4 -3 2 -1 1 3 4
𝑓(𝑥)= 𝑥 2 16 9
g(x)
h(x)
Stop here for a discussion with group members. Think about:
-Find the coordinate point (2,4) for f(x). What is the corresponding point on h(x)? What does this tell you?
-Use (2,4) from f(x) again. What is the corresponding point on g(x)? What does this tell you?

10. Part A Answer Key

11. 𝑓(𝑥)→𝑔(𝑥) has rule (x,y)→( , ). 𝑓(𝑥)→ℎ(𝑥) has rule (x,y)→( , ).
Problem 3.2 B (pg. 53)
Write rules that map the graph of 𝑓(𝑥)= 𝑥 2 onto the other graphs.
𝑓(𝑥)→𝑔(𝑥) has rule (x,y)→( , ). 𝑓(𝑥)→ℎ(𝑥) has rule (x,y)→( , ).
Problem 3.2 C Based on your results of your work in A and B:
What algebraic expression shows how to calculate the values for g(x)?
2. What algebraic expression shows how to calculate the values for h(x)?

12. Part B and C Answer Key

13. The graph of a piecewise-defined function s(t) is shown below.
Problem 3.2 D
The graph of a piecewise-defined function s(t) is shown below.
On the coordinate grid, graph functions p(t), q(t), and r(t) with the properties: 1. 2. 3.
𝑝(𝑡)=3𝑠(𝑡 for all values of t
q(𝑡)=0.5𝑠(𝑡 for all values of t
r 𝑡 =−𝑠(𝑡 for all values of t

14. Part D Answer Key
On the coordinate grid, graph functions p(t), q(t), and r(t) with the properties: 1. 2. 3.
𝑝(𝑡)=3𝑠(𝑡 for all values of t
q(𝑡)=0.5𝑠(𝑡 for all values of t
r 𝑡 =−𝑠(𝑡 for all values of t

15. If you finish A-D…

16. 3.2 Homework: pg. 58 #3-5 and handout Show all work!
Check answers on Weebly tonight!