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Which two transformations can be used to obtain the graph of G(x) = -4√x , from the graph of F(x)=√x?

Which two transformations can be used to obtain the graph of G(x) = -4√x , from the-example-1
User ColinTea
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1 Answer

22 votes
22 votes

Given: The base function


F(x)=√(x)

To Determine: The transformation that would give the function G(x)


G(x)=-4√(x)

Solution

Let us plot the graph of the base function and the new function as shown below

It can be observed that there exist a reflection across the x-axis, also a vertical stetch by a factor of 4

Hence, the correct answer is a vertical stretch by a factor of 4, followed by a reflection across the x-axis, OPTION A

Which two transformations can be used to obtain the graph of G(x) = -4√x , from the-example-1
User RonyLoud
by
3.1k points
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