Question
Asked Sep 21, 2019
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Suppose (4,-5) is a point on the graph of y=g(x)

what is the point on the graph of y=g(x+7)-3

y=-2g(x-4)+5

and y=g(2x+10)

 

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Expert Answer

Step 1

Given (4, -5) lies on graph y=g(x) so

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g(4) -5.

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Step 2

Now for finding the point lies on y=g(x+7)-3, we choose x in such a way that we get x+7=4 (i.e. g(4)). So choose x=4-7= -3,

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y g(x7)-3 y g(-3+7)-3 y g(4)-3 From equation (1) y =5-3 So (-3, -8) is desired point

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Step 3

Similarly, for y=-2g(x-4)+5, cho...

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y 2g(x4)5 y 2g(8-4)5 y 2g(4)5 y 2(5)5 y 10 5 y 15 So (8, 15) is desired point

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