MCF 3MI ­ U3 ­ 1 ­ Standard and Factored Form Lesson.notebook
March 05, 2015
Unit 3 ­ Quadratic Functions
Standard and Factored forms
Vertex Form: f(x) = a(x ­ h)2 + k
Standard Form: f(x) = ax2 + bx + c
Factored Form: f(x) = a(x ­ r)(x ­ s)
Example 1: Express in Factored Form. State the zeros, y­intercept, equation of the axis of symmetry, coordinates of the vertex.
Sketch the graph.
y
10
9
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5
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3
2
1
f(x) = 2x2 ­ 8x + 6
­10
­8
­6
­4
­2
0
­2
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­7
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­10
x
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1
MCF 3MI ­ U3 ­ 1 ­ Standard and Factored Form Lesson.notebook
March 05, 2015
To find the vertex of a parabola: if in Standard Form
Step 1 ­ Step 2 put the function into __________ form, and calculate the ____________________
Calculate the axis of symmetry
formula: Step 3 ______ the axis of symmetry value into the _________________ to calculate the _____________________
Example 2: Find the maximum or minimum value for each of the following.
a) y = (x ­ 3)(x + 5)
b) y = 2x2 ­ 5x + 3
p 139 #2 ­ 5 (column 1 only), 6, 7cde, 8cde, 9
2