WEBVTT
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The function π¦ equals π of π₯ is stretched in the vertical direction by a scale factor of one-half.
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Write in terms of π of π₯ the equation of the transformed function.
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The function weβre working with is π¦ equals π of π₯.
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And itβs being stretched with a scale factor of one-half.
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When we use a scale factor with a function, we multiply every part of the function by our scale factor.
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Hereβs what I mean.
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If, for example, we have the function π¦ equals four π₯ plus two and we wanted to use the scale factor of one-half, we would multiply every term in our function by one-half: one-half times four π₯ plus two.
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Distributing the one half across both terms, four times one half equals two π₯.
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One-half times two equals one.
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We would follow the same process for π of π₯.
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One-half times π of π₯.
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π¦ equals the function of π₯ over two.
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Multiplying π of π₯ by one-half is the same thing as saying the function of π₯ divided by two.