Chapter 6 - Algebra 2

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f(x)=a(x-h)²+k

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Vertex Form of Quadratic Function

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x=h

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Axis of Symmetry

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Description and Tags

Quadratic Functions, Completing the Square, Imaginary Numbers, Etc.

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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

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(h, k)

Vertex

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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

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h= -b/2a

Finding h value from Quadratics

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k= f(h)

Finding k value from Quadratics

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(0, c)

y-intercept

10
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a²-b² = (a+b)(a-b)

Difference of Squares

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a²±2ab+b² = (a±b)²

Perfect Square Trinomial

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i¹ equals…

i

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i² equals…

-1

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i³ equals…

-i

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i⁴ equals…

1

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a+bi/c+di = (a+bi/c+di)(c-di/c-di)

How to divide Complex Numbers

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b²-4ac

Discriminant

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b²-4ac > 0

2 real solutions

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b²-4ac = 0

1 real solution

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b²-4ac < 0

2 imaginary solutions

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y=x²

Parent Function of a Quadratic

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x= (-b±√b²-4ac)/2a

Quadratic Equation

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c=(b/2)²

Find C value for Completing the Square