Question
Asked Dec 6, 2019
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Consider the transformation of the function f(x)f(x) given by

g(x)=−7f(−8x).g(x)=−7f(−8x).

If the point (−10,4)(−10,4) is on the graph of f(x)f(x), what point must be on the graph of g(x)g(x)?

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Expert Answer

Step 1

Given: -

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8(x) =-7f(-&x)

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Step 2

To find: -

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The point on the g(x) if point (-10, 4) lies on the (x).

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Step 3

Calculation...

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It is given that 8(x)=-7f(-8x) If the graph of (x) is compressed in the x -direction by a factor of 8, the transformed function becomes f(8x). Now, On reflecting the graph of above transformed function (8x), about y- axis, the transformed function becomes f(-8x). Now, If the graph of above transformed function f-8x), is stretched in the y – direction by a factor of 7, the transformed function becomes 7f (-8). Now, If the graph of above transformed function 7f (-8), reflected about x-axis, the transformed function becomes -7f (-8).

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