Transformations of Exponential Functions

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What is a vertical translation in exponential functions?

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CCSS.HSF.BF.B.3

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What is a horizontal translation in exponential functions?

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CCSS.HSF-IF.C.7E

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The 'a' represents the y-intercept of the function, which is the value of y when x = 0.

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CCSS.HSF.LE.B.5

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CCSS.HSF-IF.C.7E

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How do you determine if a function represents exponential growth or decay?

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CCSS.HSF-IF.C.8B

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

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CCSS.HSF-IF.C.8B

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What is the general form of an exponential function?

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CCSS.HSF.LE.A.2

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What does the base 'b' in an exponential function determine?

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The base 'b' determines the rate of growth or decay. A larger base results in faster growth, while a base less than 1 results in decay.

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CCSS.HSF-IF.C.8B

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What is the significance of the y-intercept in an exponential function?

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The y-intercept is the point where the graph crosses the y-axis, indicating the initial value of the function when x = 0.

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CCSS.HSF-IF.C.7E

Front

How do you find the vertical translation of an exponential function?

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CCSS.HSF.BF.B.3