Chapter 6 - Algebra 2
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Quadratic Functions, Completing the Square, Imaginary Numbers, Etc.
Last updated 8:13 PM on 1/16/23
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23 Terms
1
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f(x)=a(x-h)²+k
Vertex Form of Quadratic Function
2
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x=h
Axis of Symmetry
3
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(h, k)
Vertex
4
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a < 0
Opens down, max
5
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a > 0
Opens up, min
6
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f(x)=ax²+bx+c
Standard Form of Quadratic Function
7
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h= -b/2a
Finding h value from Quadratics
8
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k= f(h)
Finding k value from Quadratics
9
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(0, c)
y-intercept
10
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a²-b² = (a+b)(a-b)
Difference of Squares
11
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a²±2ab+b² = (a±b)²
Perfect Square Trinomial
12
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i¹ equals…
i
13
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i² equals…
\-1
14
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i³ equals…
\-i
15
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i⁴ equals…
1
16
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a+bi/c+di = (a+bi/c+di)(c-di/c-di)
How to divide Complex Numbers
17
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b²-4ac
Discriminant
18
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b²-4ac > 0
2 real solutions
19
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b²-4ac = 0
1 real solution
20
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b²-4ac < 0
2 imaginary solutions
21
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y=x²
Parent Function of a Quadratic
22
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x= (-b±√b²-4ac)/2a
Quadratic Equation
23
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c=(b/2)²
Find C value for Completing the Square
