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Lesson 9­1.notebook April 29, 2013
Assignment:
1­­>L9.1, pg. 531­532, #5 ­ 12 (all) & #17­20 (all) ­ Due Wednesday (5/1)
2­­>L9.5, pg. 562, #11­27 (all), skip #15 ­ Due Thursday (5/2)
3­­>Final Exam ­ Monday, May 6th
Lesson 9­1.notebook April 29, 2013
Lesson 9.1 WarmUp:
Factor each polynomial.
1) 18h2  +  15h  ­  18
2) a2b2  +  a
3) n2  ­  64
4) w4  ­  8w2  ­  9
5) y2  ­  24y  +  144
Lesson 9­1.notebook April 29, 2013
Lesson 9.1:
*Nonlinear functions ­ graphs that don't create a straight line when graphed
*quadratic functions ­ nonlinear graphs and written in the form f(x) = ax2 + bx + c
*parabola ­ the shape of the graph of a quadratic function
*axis of symmetry ­ the line that divides the parabola into 2 equal halves
*vertex ­ the point where the axis of symmetry intersect the parabola
*minimum or maximum ­ the lowest point or highest point
If a > 0, the graph opens upward
If a < 0, the graph opens downward
x = ­b/2a
Lesson 9­1.notebook April 29, 2013
To graph quadratic functions:
1 ­ Find the equation of the axis of symmetry
2 ­ Find the vertex, and determine if the graph opens up or down
3 ­ Find the y­intercept [plug in zero for x]
4 ­ Create a table of values (using the vertex as the middle value)
5 ­ Connect the points with a smooth curve
Lesson 9­1.notebook April 29, 2013
Lesson 9.1 examples:
Use a table of values to graph this equation.  
A) y = 2x2  +  4x  ­  6
x y
x
y
Lesson 9­1.notebook April 29, 2013
Find the vertex, the equation of the axis of symmetry, 
and the y­intercept of this function.
B) y = ­3x2  +  6x  ­  1

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