F.BF.3 Exponential Transformations - one transformation

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What is an exponential function?

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What does a vertical stretch of an exponential function mean?

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What does a vertical compression of an exponential function mean?

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What does a horizontal shift to the right mean in an exponential function?

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What does a horizontal shift to the left mean in an exponential function?

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What does a vertical shift up mean in an exponential function?

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What does a vertical shift down mean in an exponential function?

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What is the effect of changing the base of an exponential function?

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Changing the base of an exponential function affects the rate of growth or decay. A larger base results in faster growth, while a base between 0 and 1 results in decay.

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How do you identify a vertical stretch or compression from a function?

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To identify a vertical stretch or compression, look at the coefficient in front of the exponential term. If it's greater than 1, it's a stretch; if it's between 0 and 1, it's a compression.

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What is the general form of an exponential function with transformations?

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