Transformations of Exponential Functions

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What is an exponential function?

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What is the parent function of exponential functions?

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What does a vertical translation of an exponential function do?

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A vertical translation shifts the graph of the function up or down without changing its shape.

Tags

CCSS.HSF-IF.C.7E

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What does a horizontal translation of an exponential function do?

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A horizontal translation shifts the graph of the function left or right without changing its shape.

Tags

CCSS.HSF-IF.C.7E

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What is a reflection in the context of transformations?

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A reflection flips the graph of the function over a specified axis, such as the x-axis or y-axis.

Tags

CCSS.HSF.BF.B.3

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Back

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CCSS.HSF.BF.B.3

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The function reflects over the x-axis, shifts left 3 units, and shifts down 6 units.

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CCSS.HSF.BF.B.3

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What does the term 'vertical stretch' mean?

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A vertical stretch occurs when the graph of a function is stretched away from the x-axis, typically by multiplying the function by a factor greater than 1.

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What is the effect of a negative coefficient in front of an exponential function?

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A negative coefficient reflects the graph over the x-axis.

Tags

CCSS.HSF-IF.C.7E

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Back

The function is shifted down 5 units.

Tags

CCSS.HSF.BF.B.3