Graph Transformations Flashcards

(9 cards)

1
Q

What are the four graph transformations

A

y = f(x) + a
y = f(x - a)
y = -f(x)
y = f(-x)

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2
Q

Describe y = f(x) + a

A

Translation (O/A)

Moves up for positive a
Moves down for negative a

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3
Q

Describe y = f(x - a)

A

Translation (a/o)

Moves right when a is negative
Moves left when a is positive

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4
Q

Describe y = -f(x)

A

Reflection in the x axis

The negative only affects the y coordinates

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5
Q

Describe y = f(-x)

A

Reflection in the y axis
Only affects the x coordinates

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6
Q

What is y = f(x) known as

A

Function notation

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7
Q

describe the graph for y = sin x

A

0, 0
90, 1
180, 0
270, -1
360, 0

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8
Q

describe the graph of y = cos x

A

0, 1
90, 0
180, -1
270, 0
360, 1

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9
Q

describe the graph of y = tan x

A

0, 0
45, 1
90 (dotted line)
180, 0
270 (dotted line)
360, 0

lines never touch dotted line or y axis

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