Lesson 10.1a Exploring Quadratic Graphs.notebook
Objectives
1. Be able to graph quadratic functions
2. Be able to identify a vertex
3. Be able to compare widths of parabolas
Review
Graph
y = x
y = 2/3 x
y = 4x
May 14, 2013
Lesson 10.1a Exploring Quadratic Graphs.notebook
Standard Form:
y=a x2+b x+c
y=2 x2+4 x+3
May 14, 2013
Lesson 10.1a Exploring Quadratic Graphs.notebook
Parabolas
1. a = 1 Parent Function 2. a > 1 Narrow Parabola
3. a < 1 Wide Parabola
Parabolas
4. a is positive Opens Up, vertex is a minimum 5. a is negative Opens Down, vertex is a maximum
May 14, 2013
Lesson 10.1a Exploring Quadratic Graphs.notebook
Fill in the t­chart and Graph
x
y
­2
­1
0
1
2
y = x2
This parabola is known as THE PARENT FUNCTION May 14, 2013
Lesson 10.1a Exploring Quadratic Graphs.notebook
May 14, 2013
Parent
Function!
x
y
­2
­1
0
1
2
x y
­4
­2
0
2
4
Lesson 10.1a Exploring Quadratic Graphs.notebook
May 14, 2013
x y
­2
­1
0
1
2
Identify the vertex. Is it a maximum or a minimum?
Lesson 10.1a Exploring Quadratic Graphs.notebook
May 14, 2013
Identify the vertex. Is it a maximum or a minimum?
What happens when we change the y­intercept?
Lesson 10.1a Exploring Quadratic Graphs.notebook
How have these parabolas changed from the original ?
Graph it!!!
x
y
May 14, 2013
Lesson 10.1a Exploring Quadratic Graphs.notebook
Homework #39:
Page 553
#1­4, 7, 9­14, 18
You must use Graph Paper for the graphs!
May 14, 2013