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By: Rodney Hogan & Bryanna Furlough. Graphing Quadratic Functions. What is it?. Graphing Quadratic Functions is the same as graphing linear equations, but it graphs a line at a curve. You can find things such as how many times the line crosses the x-axis or you can find the zeros. - PowerPoint PPT Presentation
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Graphing Quadratic Functions
By: Rodney Hogan & Bryanna Furlough
What is it?
• Graphing Quadratic Functions is the same as graphing linear equations, but it graphs a line at a curve. You can find things such as how many times the line crosses the x-axis or you can find the zeros.
How To Do It. . . Standard Form
• The equation for standard form is
• Identity a, b, And c. Use the formula for the Axis of Symmetry. Put this “x” value in the equation. This is for the Axis of Symmetry.
• is the formula for Axis of Symmetry.a
b
2
cbxaxy 2
. . .Vertex Form
In order to graphquadratics in vertexform, you must do theequation khxay 2)(and you have to take the opposite of “h” and take the “k” value and that’s your vertex. So in other words your vertex is (-h, k)
Example # 1
212
4
2
a
b 9
4
1
c
b
a942 xxy
Do a
b
2
139)2(4)2( 2 yPlug it in
)13,2(
Axis of Symmetry
Vertex
Video For Extra Help
Pawz refers back to example one so make sure you check back at that to
understand what he is saying.
Click Here For Pawz To Show You How To Graph Quadratic Functions
Example Problems
32.1 2 xxy
42.2 xxy
463.3 2 xxy
156.4 2 xxy
74.5 2 xxy
22 289.6 xxxy
2.7 2 xy
163.8 2 xxy
34.9 2 xxy
1)2(.10 2 xy
Answers on next slide
Answers
• (2,11)• (2,12)• (1,1)• (-3,42)• (-2,3)• (2,1)• (0,2)• (1,-4)• (2,-1)• (2,1)
Graphing For Example Problems
1. 2. 3.
4. 5. 6.
Continued. .
7. 8. 9.
10.
More Resources
If you need more help, you can do these things:
Quiz: http://quiz.econ.usyd.edu.au/mathquiz/quadratics/quiz1.php
Game: http://www.quia.com/cb/24731.htmlMore Information:http://www.wtamu.edu/academic/anns/mps/math/
mathlab/col_algebra/col_alg_tut34_quadfun.htm http://www.purplemath.com/modules/grphquad.htm
http://www.analyzemath.com/Graphing/GraphingQuadraticFunction.html
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