Pre Calculus Date 111411 Obj SWBAT algebraically and

Pre. Calculus

Date: 11/14/11 Obj: SWBAT algebraically and graphically represent translations, reflections, stretches, and shrinks of functions, understand Inherited domains from inverses and recognize polynomial functions. Bell Ringer: pg 129 #46 HW Requests: pg 152 #1 -10 a. 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: inherited domains for inverses pg 129 #48. (pg 140 #3538, 47 -50) Homework: pg 175 # 1 -6, 8, 10, 12 Announcements: Binders due 12/2

Polynomial Function Slide 2 - 3

Date: 11/15/11 Objective: SWBAT find the vertex and axis of symmetry and write the equation of quadratic function in standard and vertex form. Bell Ringer: pg 139 #13 -16; HW Requests: pg 175 # 1 -6, 8, 10, 12 Exit Ticket: (p. 176 # 23 -35 odds). Students will sketch problems 23 and 25. Homework: p. 176 #24 -32 evens Parking Lot: a. 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? Announcements: Binders due 12/2

Stretches and Shrinks Watch your fractions But c > 0 Horizontal Stretches or Shrinks Slide 1 - 5

Vertex Form of a Quadratic Equation • Slide 2 - 7

Date: 11/16/11 Objective: SWBAT find the vertex and axis of symmetry and write the equation of quadratic function in standard and vertex form. Bell Ringer: Correct problems from “Properties of Parabolas” worksheet; HW Requests: pg 176 #24 -32 evens Exit Ticket: Complete Properties of Parabolas handout from yesterday Homework: p. 176 #34, 36, 38 6 -6 Practice – Analyzing Graphs of Quadratic Functions Worksheet 1 -15 ; Read pg 172 Free Fall Announcements: Make-up Wednesday Sect. 1. 4 -1. 5 Quiz 6 th Per. Asia Clark, D. Lee, J. Reed, D. Weathersby, Chamone Williams Binders due 12/2

Example Finding the Vertex and Axis of a Quadratic Function 1. Rewrite the equation but use the method of completing the square to find vertex form. 2. Write an equation for the parabola with vertex (1, 3), point (0, 5). Slide 2 - 9

Characterizing the Nature of a Quadratic Function

Graph Vertex Form of a Quadratic Equation •

Date: 11/17/11 Objective: SWBAT solve problems such as projectile motion (free fall) problems using quadratic functions. Bell Ringer: Go over Exit Ticket HW Requests: 6 -6 Practice – Analyzing Graphs of Quadratic Functions Worksheet 115 Exit Ticket: Complete yesterday’s Properties of Parabolas handout add #3, 4 (4 min. ) In class worksheet Homework: p. 176 #34, 36, 38, 61 -64 Announcements: Make-up Wednesday Sect. 1. 4 -1. 5 Quiz 6 th Per. Lee, Weathersby Quiz Tuesday 2. 1 Binders due 12/2

Vertex Form of a Quadratic Equation •

Vertical Free-Fall Motion Max values at the vertex (h, k) An object is tossed upward with an initial velocity of 15 ft/sec. from a height of 4 ft. What is the object’s maximum height? How long does it take the object to reach its maximum height? A ball is thrown across a field. Its path can be described by the equation y = -0. 002 x 2+. 2 x + 5. where x is the horizontal distance (in feet) and y is the height (in feet). What is the ball’s maximum height? How far had it traveled horizontally to reach its maximum height? Pdemsy 117, 118