2.1 Analyze Graphs of Quadratic Functions

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Last updated 12:33 AM on 10/17/22
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9 Terms

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Quadratic Function:
a 2nd degree polynomial function
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General Form of a Quadratic Function
f(x) = ax^2+bx+c
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Axis of Symmetry (General Form)
x = -b/2a
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Vertex (General Form)
(-b/2a , f(-b/2a)
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Standard Form of Quadratic Function
f(x) = a(x-h)^2+k
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Axis of Symmetry (Standard Form)
x = h
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Vertex (Standard Form)
(h, k)
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Convert General Form to Standard Form
Complete the Square
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Complete the Square
1. Factor "a" out of 1st two terms
2. Complete the square
a. Half of linear coefficient
b. Square it
c. Whatever we add, we must also balance
3. Factor and simplify