College Algebra Math 130 Amy Jones Lewis. Homework Review  10x 2 – 1 = 0  -x 2 + 8x = 2.

Slides:

Advertisements

Similar presentations

Copyright © 2011 Pearson, Inc. P.7 Solving Inequalities Algebraically and Graphically.

Advertisements

EXAMPLE 4 Write and solve a polynomial equation DISCUS

EXAMPLE 6 Write a quadratic function in vertex form Write y = x 2 – 10x + 22 in vertex form. Then identify the vertex. y = x 2 – 10x + 22 Write original.

Quadratic Word Problem Practice By: L. Keali’i Alicea

EXAMPLE 5 Solve a vertical motion problem Juggling

Solving Quadratics Tutorial 11g Relating to the Real World Members of the science club launch a model rocket from ground level with a starting velocity.

HW: Pg. 287 #47-67eoo, 73, 75, 79, 81. ___________________, 5.6 The Quadratic Formula and the Discriminant _________. ______________, ____________________.

Warm-up Problems Simplify Solve -2(x – 3)2 = 24

EXAMPLE 4 Solve a quadratic equation Solve 6(x – 4) 2 = 42. Round the solutions to the nearest hundredth. 6(x – 4) 2 = 42 Write original equation. (x –

EXAMPLE 5 Model a dropped object with a quadratic function

Algebra: Wednesday’s Daily Inspiration Factor the following quadratic equations AND then identify the roots: 1.y = -2x x y = -x 2 + 8x – 16.

Chapter 5 Quadratic Functions Review. Question 1a Identify the vertex, the axis of symmetry, create a table, then graph. y = x² - 8x + 5.

Math Jeopardy Quad. Functions And Square Roots Graphing Quad. Equations Solving Quad. Equations Vertical Motion “Algebra – Chapter 9” Critical Values.

9-4 Quadratic Equations and Projectiles

Projectile Motion. We are going to launch things, and then find out how they behave.

10.4 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Use Square Roots to Solve Quadratic Equations.

Solving Inequalities Algebraically Section P.6 – the last section of the chapter!!!

PRE-AP PRE- CALCULUS CHAPTER 2, SECTION 1 Linear and Quadratic Functions and Modeling

Section 10-7 & 8 Quadratic Formula and Discriminant SPI 23E: Find the solution to a quadratic equation given in standard form SPI 23H: select the discriminant.

SECTION 3.4 POLYNOMIAL AND RATIONAL INEQUALITIES POLYNOMIAL AND RATIONAL INEQUALITIES.

P.5P.5 Solving Inequalities Algebraically and Graphically.

SWBAT… solve quadratic equations, ax 2 + bx + c Wed, 2/8 Agenda 1. Warm-up (10 min) 2. Solving quadratic equations, ax 2 + bx + c (20 min) Warm-Up: 1.

Today in Algebra 2 Go over homework Need a graphing calculator. More on Graphing Quadratic Equations Homework.

SWBAT… solve quadratic equations in the form a x 2 + bx + c Tues, 5/14 Agenda 1. Warm-up (10 min) 2. Review HW#1 and HW#2 (20 min) 3. ax 2 + bx + c = 0.

5.5 Quadratic Equations. Warm-up Factor fully. Solving by Factoring 1a) Solve.

Section 10.6 Solve Any Quadratic Equation by using the Quadratic Formula.

Section 1.3 Quadratic Equations 1. 2 OBJECTIVE 1 3.

Bonus! Multiplying Binomials Factoring Solving By Factoring.

College Algebra Math 130 Amy Jones Lewis. Water Balloons  On a calm day, you and a friend are tossing water balloons in a field trying to hit a boulder.

9.6 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Factor ax 2 + bx + c.

EXAMPLE 6 Solve a multi-step problem An athlete throws a shot put with an initial vertical velocity of 40 feet per second as shown. a. Write an equation.

EXAMPLE 5 Solve a vertical motion problem A juggler tosses a ball into the air. The ball leaves the juggler’s hand 4 feet above the ground and has an initial.

Warm-Up Exercises Find the zeros of the polynomial function. 1.f(x) = x 2 + 5x – 36 2.f(x) = x 2 – 9x + 20 ANSWER –9, 4 ANSWER 4, 5.

ALGEBRA 1 Lesson 9-7 Warm-Up. ALGEBRA 1 “Using the Quadratic Formula” (9-7) What is the “quadratic formula”? When and how do you use the quadratic formula?

Warm up The Vertex of a Quadratic function SWBAT determine the vertex of a quadratic function, the axis of symmetry and explain the relationship.

The Quadratic Formula Quadratic Equation Quadratic Formula.

Chapter 4 Section 8. EXAMPLE 1 Solve an equation with two real solutions Solve x 2 + 3x = 2. x 2 + 3x = 2 Write original equation. x 2 + 3x – 2 = 0.

Algebra Solving Quadratic Equations by the Quadratic Formula.

9.7 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Factor Special Products.

Lesson 9.5 Objective: To solve quadratic equations using the quadratic formula. Quadratic formula: When Then the value of x is… What formula can be used.

TEST! Test on quadratic graphs! EXIT EXAM!!1 (3PM – 5PM)

Homework Questions.

22. Use this table to answer the question.

Sec. 4.1 Antiderivatives and Indefinite Integration

College Algebra Math 130 Amy Jones Lewis.

Chapter 4: Quadratic Functions and Equations

Solving Inequalities Algebraically

Awesome Assorted Applications!!! (2.1c alliteration!!!)

Algebra 2 Test 1 Review Trivia

Notes Over 9.6 Quadratic Formula

Module 9: Lesson 9.2 Solving Equations by Completing the Square

5-1 Solving Quadratic Equations by Graphing and Factoring SWBAT

Consider the function f(x)= 2x2 + 8x – 7.

Warm Up – Basic Word Problems Show all work and explain if necessary.

Using the Quadratic Formula

Warm Up HW: Quadratics Review Worksheet

The Kinematics Equations (1D Equations of Motion)

Solving Quadratic equations by graphing.

9-4 Quadratic Equations and Projectiles

Notes P.6 – Solving Inequalities

Solve by Graphing Solve by Factoring Complex Numbers Solve by

Notes Over 9.5 Quadratic Formula

Use the discriminant to find the number of solutions

Solve a quadratic equation having two solutions

1.5 – Projectile Motion (pg )

The Discriminant Lesson 9.9.

1. A person throws a baseball into the air with an initial vertical velocity of 30 feet per second and then lets the ball hits the ground. The ball is.

For example: f(x)=6x2+17x-14.

Solving Quadratic Equations by Finding Square Roots

3.3 Completing the Square.

Presentation transcript:

College Algebra Math 130 Amy Jones Lewis

Homework Review  10x 2 – 1 = 0  -x 2 + 8x = 2

Punkin’ Chunkin’  Every year, the city of Millsboro, Delaware, holds a competition called the World Championship Punkin’ Chunkin’, which is a pumpkin throwing competition. Participants build a pumpkin catapult that hurls a pumpkin. The catapult that hurls the pumpkin the farthest is the winner.

Punkin’ Chunkin’ elated

Punkin’ Chunkin’  You can model the motion of a pumpkin that is released by a catapult by using the vertical motion model y = -16t 2 + vt + h, where  t is the time that the object has been moving in seconds  v is the initial velocity of the object in ft per sec.  h is the initial height of the object in feet  y is the height of the object in feet at time t seconds.

Punkin’ Chunkin’  Suppose that a catapult is designed to hurl a pumpkin from a height of 30 feet at an initial velocity of 212 feet per second.  Write a quadratic function that models the height of the pumpkin in terms of time.

Punkin’ Chunkin’  Write an equation that you can use to determine when the pumpkin will hit the ground.  Solve the equation.  Do both solutions have meaning in the problem situation?

Punkin’ Chunkin’  What is the height of the pumpkin three seconds after it is launched from the catapult?  What is the height of the pumpkin eight seconds after it is launched from the catapult?  What is the height of the pumpkin 20 seconds after it is launched from the catapult?

Punkin’ Chunkin’  When is the pumpkin at its highest point?  What is the maximum height of the pumpkin?  When is the pumpkin at a height of 500 feet?  Is your answer confirmed by your graph?

Homework Next Class: Wednesday, November 24