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

Student Investigation Activity Please click on the following link: transformations.htmlhttp:// 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... *Now let’s graph the shifts

2. Use the parent function of a cubic function to write the equation for the following graph… Let’s try on page 64 #’s 12, 20, 24

RIGID Transformations: Do NOT change shape of graph NON – RIGID Transformations: CHANGE the shape of the graph a > 1 = more narrow (vertical stretch) 0 < a < 1 = more wide (vertical shrink) a < 0 = reflection over the x axis c > 1 = horizontal shrink (narrow) 0 < c < 1 = horizontal stretch (wide) c < 0 = reflection over the y axis

Examples….

Partner Practice and HW Parent graph and transformation packet

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