Quadratic Flashcards

1
Q

Standard Form of a Quadratic

A

y=ax^2+bx+c

This form reveals the y-intercept (c)

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2
Q

Vertex Form

A

y=a(x-h)^2+k

This form tells me the vertex (h,k) ***h is opposite of what’s in parentheses

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3
Q

h

A

-b/2a

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4
Q

k

A

Plug h into x and evaluate

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5
Q

Vertex

A

Max or a min point, also can be seen as the center of the parabola.

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6
Q

Factored Form of a Quadratic

A

(x+a)(x+b)
a and b can be negative or positive
Reveals the zeros of the function

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7
Q

Zeros

A

x-intercepts
Solutions
Roots
f(x)=0

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8
Q

Complex Number

A

a+bi

Made up of a real number and an imaginary number

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9
Q

i

A

you sqrt a negative number

sqrt(-25)=+-5i

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10
Q

i^2

A

i^2=-1

***Multiplying complex numbers

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11
Q

Domain

A

All x-values that are part of your function. Also called the inputs.
**The domain for quadratic equations is all real numbers

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12
Q

Range

A

All y-values that are part of your function. Also knowns as outputs. Always restricted for quadratic equations.

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