Families of Functions Flashcards

1
Q

Parent Function

A

The simplest function with these characteristics.

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2
Q

Translation

A

shifts a graph horizontally, vertically, or both.

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3
Q

Stretch

A

multiplies all y-values by the same factor greater than 1, thereby stretching a graph vertically.

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4
Q

Shrink

A

reduces y-values by a factor between 0 and 1, thereby compressing the graph vertically.

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5
Q

Reflection

A

the x-axis changes y-values to their opposites.

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6
Q

Transformation

A

Each member of a family of functions is a transformation, or change, of a parent function.

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7
Q

Parameters

A

Algebraically, the transformations take the same form using parameters, like h, k, and a.

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