Pre Calculus Date 11711 Obj SWBAT algebraically and

Pre. Calculus

Date: 11/7/11 Obj: SWBAT algebraically and graphically represent translations, reflections, stretches, and shrinks of functions. Walton-page NUTALL, Page 1. 2 Test Make up test Wednesday after school Parking Lot: Inherited domains from inverses Bell Ringer: pg 132 Start Exploration 1 #1 and 2 Use your calculators (7 minutes) HW Requests: Period 5 68, 69, pg 139 Quick Review #2 -10 evens; Extra Credit HW: Extra Credit a) pg 128 #24 b) The average of three numbers is 70. When the smallest of the three numbers is replaced by 75, the average is increased by 5. What is the number that was replaced by 75? In class: Get into your groups and work p. 139 #1 -11 odd and p. 140 #25 & 27 Each person must hand in their own responses. HW: p. 139 #2 -12 evens, and p. 140 #26 -32 evens Announcements: Quiz on Thursday

Date: 11/8/11 Obj: SWBAT algebraically and graphically represent translations, reflections, stretches, and shrinks of functions. Walton-page NUTALL, Page 1. 2 Test Make up test Wednesday after school Parking Lot: Inherited domains from inverses Bell Ringer: pg 136 Start Exploration 3 #1 and 2 HW Requests: p. 139 #2 -12 evens, and p. 140 #26 -32 evens, p. 139 #1 -11 odd and p. 140 #25 & 27 a) pg 128 #24 b) The average of three numbers is 70. When the smallest of the three numbers is replaced by 75, the average is increased by 5. What is the number that was replaced by 75? In class: Get into your groups and work text (p. 139 #13 -16 and p. 140 #39 & 45 odds). Each person must hand in their own responses. HW: p. 139 #13, 16, 18 -24 evens and p. 140 #40 -42 evens Announcements: Quiz on Thursday

Date: 11/9/11 Obj: SWBAT algebraically and graphically represent translations, reflections, stretches, and shrinks of functions. Walton-page NUTALL, Page 1. 2 Test Make up test Wednesday after school Parking Lot: Inherited domains from inverses Bell Ringer: None HW Requests: p. 139 #13, 16, 18 -24 evens and p. 140 #40 -42 evens a) pg 128 #24 b) The average of three numbers is 70. When the smallest of the three numbers is replaced by 75, the average is increased by 5. What is the number that was replaced by 75? In class: Work on Review Sheet Homework: Study for Quiz HW: Announcements: Quiz on Thursday

Date: 11/10/11 Obj: SWBAT algebraically and graphically represent translations, reflections, stretches, and shrinks of functions. Parking Lot: Inherited domains from inverses Bell Ringer: Quiz HW Requests: p. 139 #13, 16, 18 -24 evens and p. 140 #40 -42 evens a) pg 128 #24 b) The average of three numbers is 70. When the smallest of the three numbers is replaced by 75, the average is increased by 5. What is the number that was replaced by 75? HW: Section 1. 6 pg 141 -143 Read Ex 1 and 2 Work problems: pg 152 #1 -10 Check your work by plugging in real numbers. The formulas can be found in the Quick Review found on page 152. Announcements: Binder Check Due 12/2

Translations A translation is an operation that shifts a graph horizontally, vertically, or both. The result is a graph that is the same shape and size, located in a different position Today: Vertical Translations (Shifts) Horizontal Translations (Shifts) Reflections Slide 1 - 6

Date: 11/10/11 Obj: SWBAT algebraically and graphically represent translations, reflections, stretches, and shrinks of functions. Parking Lot: Inherited domains from inverses Bell Ringer: Quiz Scantron HW Requests: p. 139 #13, 16, 18 -24 evens and p. 140 #40 -42 evens a) pg 128 #24 b) The average of three numbers is 70. When the smallest of the three numbers is replaced by 75, the average is increased by 5. What is the number that was replaced by 75? Homework: Section 1. 6 pg 141 -143 Read Ex 1 and 2 Work problems: pg 152 #1 -10 Check your work by plugging in real numbers. The formulas can be found in the Quick Review found on page 152. Announcements: Binders due 12/2

Translations Let c be a positive real number. The following transformations result in translations of the graph of y=f(x) is called the parent, base or principle function. Vertical Translations y=f(x)+c a translation (shift) up by c units y=f(x)-c a translation (shift) down by c units Slide 1 - 8

Ex. #1: Compare the graphs of y = |x| and y = |x| – 2. A translation is an operation that shifts a graph horizontally, vertically, or both. The result is a graph that is the same shape and size, located in a different position The graph of y = |x| – 2 is the graph of y = |x| shifted 2 units down on the y-axis. Notice that the c-value translates or shifts the graph on the y-axis. This is commonly referred to as a vertical translation.

Translations Let c be a positive real number. The following transformations result in translations of the graph of y=f(x) is called the parent, base or principle function. Horizontal Translations y=f(x-c) a translation (shift) to the right by c units y=f(x+c) a translation (shift) to the left by c units Slide 1 - 10

Translating Graphs Horizontally Ex. #2: Compare the graphs of y = |x| and y = |x + 3|. The graph of y = |x + 3| is the graph of y = |x| shifted 3 units left on the x-axis. Notice that the c-value translates or shifts the graph on the x-axis. This is commonly referred to as a horizontal translation.

Reflections The following transformations result in reflections of the graph of y = f(x): Across the x-axis y = -f(x) Across the y-axis y = f(-x) http: //www. biology. arizona. edu/biomath/tuto rials/Transformations/Problems. html after stretches http: //www. learnerstv. com/video/Free-video-Lecture-148 -Maths. htm Slide 1 - 12

$Stretches and Shrinks Watch your fractions Slide 1 - 13$