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CalculusQ&A LibraryThe graph of the function f(x)=log 9(x) is stretched vertically by a factor of 4, reflected over the x-axis, reflected over the y-axis, and shifted up by 7 units.Which of the answer choices gives the equation of the function g(x) described above?Select the correct answer below: g(x)=4log9(x)−7 g(x)=4log9(−x)+7 g(x)=4log9(x)+7 g(x)=−4log9(−x)+7 g(x)=−4log9(−x)−7 g(x)=−4log9(x)+7Question

Asked Mar 21, 2019

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The graph of the function f(x)=log _{9}(x) is stretched vertically by a factor of 4, reflected over the x-axis, reflected over the y-axis, and shifted up by 7 units.

Which of the answer choices gives the equation of the function g(x) described above?

Select the correct answer below:

g(x)=4log9(x)−7

g(x)=4log9(−x)+7

g(x)=4log9(x)+7

g(x)=−4log9(−x)+7

g(x)=−4log9(−x)−7

g(x)=−4log9(x)+7

Step 1

The function is given as

Step 2

Firstly, the function is stretched vertically by a factor of 4. Thus, the new function is

Step 3

Then, the reflection of the function 4*f*(x) over the x axis which is...

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