ax  + bx + c 2 a, b, and c are Numbers (a ≠ 0)

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A110­1ExploringQuadGraphsSpring15.notebook
April 27, 2015
Algebra 1
Ch.10 Notes Page 56
P56 10­1 Exploring Quadratic Graphs
Sep 2­8:31 AM
Quadratic Functions
y = ax2 + bx + c
Standard Form:
a, b, and c are Numbers (a ≠ 0)
2
ax + bx + c
May 5­7:02 AM
1
A110­1ExploringQuadGraphsSpring15.notebook
April 27, 2015
Graphs of Quadratic Functions
Parent Function y = x2
Shape ­
Parabola
Vertex ­ Hightest/Lowest Point
Max or Min
ax2 + bx + c
If a > 0 Opens Up (Min)
If a < 0 Opens Down (Max)
May 5­7:02 AM
Finding the Vertex
What is the Vertex and is it a Max or a Min?
May 5­7:03 AM
2
A110­1ExploringQuadGraphsSpring15.notebook
April 27, 2015
What is the Vertex and is it a Max or a Min?
Apr 30­8:35 AM
Graphing y = ax2 If a > 1 (Narrow)
If 0 < a < 1 (Wide)
y = 2x2
y = 1/2x2
Apr 30­8:35 AM
3
A110­1ExploringQuadGraphsSpring15.notebook
April 27, 2015
Comparing Widths of Parabolas
y = 1/4x2
y = ­4x2
y = x2
Apr 30­8:36 AM
Graphing y = ax2 + c C shifts the Graph up or down.
y = 1x2 + 3
y = 1x2
C = Positive
UP
C = Negative
Down
Apr 30­8:36 AM
4
A110­1ExploringQuadGraphsSpring15.notebook
April 27, 2015
HW #68
10­1 P553 #1­5,10,11,14­19,21­26
Please put your name and class period at the top of the homework.
Also include the homework number.
Nov 19­2:20 PM
Apr 30­8:36 AM
5
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