Warm Up:

1.5 Day 3 Worksheet (Piece-wise and greatest integer graphing)

Student Investigation Activity

• Please click on the following link:

• http://www.mathsisfun.com/sets/function-transformations.html

• Read through the notes and answer the 10 questions at the bottom and enter your responses in your clicker.

1.6 – Shifting, Reflecting, and Stretching Graphs

Who remembers the letters that we used to shift a graph?

• a – leading coefficient

• h – shifts the graph horizontally

• k – shifts the graph vertically

• y= a (x – h)2 + k (Quadratic)

• y= a (c(x – h))2 + k

*This book uses different notation but it has the same meaning/affect **Let’s look on page 59**

Let’s look at some graphs...

42

1

3

xy

xy

xy

*Now let’s graph the shifts

2. Use the parent function of a cubic function to write the equation for the following graph…

33 xy

Let’s try on page 64 #’s 12, 20, 24

RIGID Transformations: Do NOT change shape of graphNON – RIGID Transformations: CHANGE the shape of the graph

))(( xfay a > 1 = more narrow (vertical stretch)

0 < a < 1 = more wide (vertical shrink)

a < 0 = reflection over the x axis

))(( xcfy c > 1 = horizontal shrink (narrow)

0 < c < 1 = horizontal stretch (wide)

c < 0 = reflection over the y axis

Examples….

xy

xy

xy

3

1

3

2xy

2

2

2

)2(

)2

1(

)2(

xy

xy

xy

Partner Practice and HW

• Parent graph and transformation packet

Additional Practice

•Pg. 64 #’s 13, 17, 29, 31, 35, 43, 45, 47