SWBAT… analyze the characteristics of the graphs of quadratic functions 6/2/10 Agenda 1. WU (15 min) 2. Notes on graphing quadratics & properties of quadratics (30 min) WARM-UP 1. Write the hw in your planners 2. Review tests 3. Path of a baseball (back of agenda) HW#1: Two Problems on graph paper
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SWBAT… analyze the characteristics of the graphs of quadratic functions 6/2/10 Agenda 1. WU (15 min) 2. Notes on graphing quadratics & properties of quadratics.
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SWBAT… analyze the characteristics of the graphs of quadratic functions 6/2/10
Agenda
1. WU (15 min)
2. Notes on graphing quadratics & properties of quadratics (30 min)
WARM-UP1. Write the hw in your planners
2. Review tests
3. Path of a baseball (back of agenda)
HW#1: Two Problems on graph paper
2nd Period Factoring Test Results
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Mean = 80% Range = 27% - 113%
Mean = 85% Range = 60% - 100%
4th Period Factoring Test Results
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Mean = 81% Range = 40% - 107%
6th Period Factoring Test Results
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012345678
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All Infinity Algebra Classes Factoring Test Results
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A B C D F
Test Grade
Nu
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Mean = 82% Range = 27% - 113%
To get us warmed up and ready for quadratics… Complete the path of a baseball on the
1.) For y = -x2 + 11. Graph using a table of values
2. The axis of symmetry
3. The vertex
4. The y-intercept
5. The solutions (x-intercepts)
2.) How are the graphs of y = -x2 + 1 and y = -x + 1 different?
Example: y = -x2 + 1
x
y
y = -x2 + 1
2. Vertex:
4. x-intercepts:
3. y-intercept:
1. Axis of symmetry:
x y-2 -3 -1 0 0 1 1 0 2 -3
x = 0
(0,1)
(0,1)
x = 1 or x = -1
Vertex formulax = -b
2a
Steps to solve for the vertex:Step 1: Solve for x using x = -b/2aStep 2: Substitute the x-value in the original function to find the y-valueStep 3: Write the vertex as an ordered pair ( , )