Welcome September 27 2017 I can perform reflections

Welcome! September 27, 2017 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. 58 3 -5, handout

Warm Up: Use your Expo markers to write on your desk and complete the following. Silently!! Draw a picture like the one to the right Draw In the top left box, draw two parabolas which open up: in the top left box. Graphs Go Here Describe each transformation here Write the coordinate rules Write the algebraic expressions #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

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!)

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

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?

Launch Video https: //dashweb. pearsoncmg. co m/main. html? r=24369&p=865

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)?

Problem 3. 1, pg. 52 A-D Go ahead and try it out with your tablemates! Show all work!

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 0 1 2 3 4 16 9 4 1 0 1 4 9 16 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?

Part A Answer Key

Problem 3. 2 C Based on your results of your work in A and B: 1. 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)?

Part B and C Answer Key

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.