Functions Flashcards

1
Q

How to write domain

A

{x+lRl

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2
Q

Even function

A

F(x)=f(-x)
Symmetric with respect to y
X^2

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3
Q

Odd function

A

-f(x)=f(-x)
Symmetric with respect to x
X^3

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4
Q

Translate up

A

F(x)+c

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5
Q

Down

A

F(x)-c

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6
Q

Left

A

F(x+c)

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7
Q

Right

A

F(x-c)

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8
Q

Vert. Stretch

A

Y=a(x^2)

a>1

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9
Q

Vert. Shrink

A

Y=a(x^2)

a<1

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10
Q

Horizontal stretch

A

Y=(ax^2)

a<1

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11
Q

Horizontal shrink

A

Y=(ax^2)

a>1

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12
Q

Rules

A

Radical set >= 0

Set dem. Not = 0

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13
Q

Focus

A

Fix point on interior of the parabola

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14
Q

Directrix

A

Line perpendicular to axis of symmetry

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15
Q

Parabola

A

Set of points of equal distance from focus in directrix

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16
Q

Vertex form

A

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

17
Q

Standard form

A

Y=ax^2+Bx+c

18
Q

To find focus and directrix

A

1/4p= a
F:0,p
D: y=p
X=p