Graphs and Transformations Flashcards

1
Q

what does it mean if there are two x-roots the same

A

repeated root
- only touches the x axis

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2
Q

positive quadratic

A
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3
Q

negative quadratic

A
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4
Q

postitive cubic

A
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5
Q

negative reciprocal

A
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6
Q

exponential graphs

A
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7
Q

reciprocal graphs

A
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8
Q

y = f(x) + a

A

translation (0
a)

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9
Q

y = f(x) - a

A

translation (0
-a)

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10
Q

y = f(x + a)

A

translation (-a
0)

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11
Q

y = f(x - a)

A

translation (a
0)

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12
Q

y = -f(x)

A

reflection in x axis

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13
Q

y = f(-x)

A

reflection in y axis

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14
Q

y = af(x)

A

stretch parallel to the y axis with a scale factor of a

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15
Q

y = f(ax)

A

stretch parallel to x axis with scale factor 1/a

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