Download presentation

Presentation is loading. Please wait.

Published byBranden Magnus Modified over 2 years ago

1
**Do Now 4/15/10 Take out HW from yesterday. Copy HW in your planner.**

Practice worksheet 10.2 form B odds Copy HW in your planner. Text p. 647, #8, 14, 17, 24, 30 Quiz sections Monday.

2
**Homework Practice 10.2 Form B odds**

1) a = 6, b = 3, c = 5 3) a = 7, b = -3, c = -1 5) a = 3/4, b = 0, c = -10 7) up; x = 0; (0,-5) 9) down; x = 3/2; (3/2, 23/2) 11) up; x = -1; (-1, -5) 13) up; x = -5; (-5, -33/2) 15) down; x = 3/2; (3/2, -5/4) 17) down; x = 7/4; (7/4, 57/8) 19) 21) 23-31) on overhead 33) maximum; (1,3) 35) 12 ft x 3 4 5 6 7 y -18 -21 -22 x -1 1 2 3 y 17/2 7 13/2

3
Objective SWBAT solve quadratic equations by graphing

4
**Section 10.3 “Solve Quadratic Equations by Graphing”**

an equation that is in the standard form ax² + bx + c = 0, where a = 0. Solve by Factoring (Chapter 9) Solve by Graphing y x² - 6x + 5 = 0 x² - 6x + 5 = 0 x (x – 1)(x – 5) = 0 x = 1 or x = 5 To solve this equation graph y = x² - 6x From the graph you can see that the intercepts are 1 and 5. (Remember This???)

5
**Solving Quadratic Equations by Graphing**

To solve a quadratic equation by graphing, first write the equation in standard form, ax² + bx + c = 0. Then graph the equation. The x-intercepts of the graph are the solutions, or roots, of the equation. Quadratic equations can have one of three types of solutions: Two solutions (2) One solution (3) No solution y y y x x x One x-intercept No x-intercepts Two x-intercepts

6
**Solve a quadratic equation having two solutions**

EXAMPLE 1 Solve a quadratic equation having two solutions Solve x2 – 2x = 3 by graphing. SOLUTION STEP 1 Write the equation in standard form. x2 – 2x = 3 Write original equation. x2 – 2x – 3 = 0 Subtract 3 from each side. STEP 2 Graph the function y = x2 – 2x – 3. The x-intercepts are – 1 and 3

7
**Solve a quadratic equation having two solutions**

EXAMPLE 1 Solve a quadratic equation having two solutions ANSWER The solutions of the equation x2 – 2x = 3 are – 1 and 3. CHECK: You can check – 1 and 3 in the original equation. x2 – 2x = 3 x2 – 2x = 3 Write original equation. (–1)2 –2(–1) 3 = ? (3)2 –2(3) 3 = ? Substitute for x. 3 = 3 3 = 3 Simplify. Each solution checks.

8
**Solve a quadratic equation having one solution**

EXAMPLE 2 Solve a quadratic equation having one solution Solve – x2 + 2x = 1 by graphing. SOLUTION STEP 1 Write the equation in standard form. – x2 + 2x = 1 Write original equation. – x2 + 2x – 1 = 0 Subtract 1 from each side. STEP 2 Graph the function y = – x2 + 2x – 1. The x-intercept is 1.

9
**Solve a quadratic equation having no solution**

EXAMPLE 3 Solve a quadratic equation having no solution Solve x2 + 7 = 4x by graphing. SOLUTION STEP 1 Write the equation in standard form. x = 4x Write original equation. x2 – 4x + 7 = 0 Subtract 4x from each side. STEP 2 Graph the function y = x2 – 4x + 7. The equation x² + 7 = 4x has no solution because there is no x-intercept.

10
EXAMPLE 4 Find the zeros of a quadratic function Find the zeros of f(x) = x2 + 6x – 7. SOLUTION Graph the function f(x) = x x –7. The x-intercepts are – 7 and 1. ANSWER The zeros of the function are – 7 and 1. CHECK Substitute – 7 and 1 in the original function. f(– 7) = (– 7)2 + 6(– 7) – 7 = 0 f(1) = (1)2 + 6(1) – 7 = 0

11
Homework Text p. 647, #8, 14, 17, 24, 30

Similar presentations

OK

Section 1.8 Homework questions?. Section Concepts 1.8 Linear Equations in Two Variables Slide 2 Copyright (c) The McGraw-Hill Companies, Inc. Permission.

Section 1.8 Homework questions?. Section Concepts 1.8 Linear Equations in Two Variables Slide 2 Copyright (c) The McGraw-Hill Companies, Inc. Permission.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on weapons of mass destruction 2016 Ppt on object-oriented programming php Ppt on cloud computing technology Ppt on traction rolling stock manufacturers Ppt on chemical reaction Ppt on computer devices input and output Download ppt on coordinate geometry for class 9th chemistry Ppt on reflection in c# Ppt on preservation of public property record Ppt on moving coil galvanometer