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OBJECTIVES:
1. Find the vertex of a vertical parabola.
2. Graph a quadratic function.
3. Use the discriminant to find the number of x-intercepts of a parabola with a vertical axis.
4. Use quadratic functions to solve problems involving maximum or minimum value.
5. Graph parabolas with horizontal axes
1.
Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 10.6 - 1
2.
Chapter 10
Quadratic Equations,
Inequalities,
and Functions
Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 10.6 - 2
3.
10.6
More About Parabolas and
Their Applications
Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 10.6 - 3
4.
10.6 More About Parabolas; Applications
Objectives
1. Find the vertex of a vertical parabola.
2. Graph a quadratic function.
3. Use the discriminant to find the number of
x-intercepts of a parabola with a vertical axis.
4. Use quadratic functions to solve problems
involving maximum or minimum value.
5. Graph parabolas with horizontal axes.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 4
5.
10.6 More About Parabolas; Applications
Find the Vertex of a Parabola
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 5
6.
10.6 More About Parabolas; Applications
Find the Vertex of a Parabola by Completing the Square
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 6
7.
10.6 More About Parabolas; Applications
Completing the Square to Find the Vertex When
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 7
8.
10.6 More About Parabolas; Applications
Completing the Square to Find the Vertex When
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 8
9.
10.6 More About Parabolas; Applications
Deriving the Formula for the Vertex of the Graph of a Quadratic Function
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 9
10.
10.6 More About Parabolas; Applications
Vertex Formula
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 10
11.
10.6 More About Parabolas; Applications
Vertex Formula
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 11
12.
10.6 More About Parabolas; Applications
Vertex Formula
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 12
13.
10.6 More About Parabolas; Applications
General Approach for Graphing a Quadratic
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 13
14.
10.6 More About Parabolas; Applications
General Approach for Graphing a Quadratic
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 14
15.
10.6 More About Parabolas; Applications
General Approach for Graphing a Quadratic
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 15
16.
10.6 More About Parabolas; Applications
General Approach for Graphing a Quadratic
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 16
17.
10.6 More About Parabolas; Applications
Discriminant to Determine Number of x-intercepts
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 17
18.
10.6 More About Parabolas; Applications
Discriminant to Determine Number of x-intercepts
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 18
19.
10.6 More About Parabolas; Applications
Discriminant to Determine Number of x-intercepts
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 19
20.
10.6 More About Parabolas; Applications
Quadratic Functions Involving Maximum or Minimum
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 20
21.
10.6 More About Parabolas; Applications
Quadratic Functions Involving Maximum or Minimum
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 21
22.
10.6 More About Parabolas; Applications
Quadratic Functions Involving Maximum or Minimum
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 22
23.
10.6 More About Parabolas; Applications
Graphing Horizontal Parabolas
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 23
24.
10.6 More About Parabolas; Applications
Graphing Horizontal Parabolas
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 24
25.
10.6 More About Parabolas; Applications
Summary of Graphs of Parabolas
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.6 - 25