The graph of the function f(x)=log9(x) is stretched vertically by a factor of 4, reflected over the y-axis, and shifted up by 6 units.

Answer:

College Algebra do be hard tho, Answer in Pic

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Explanation:

The function g(x) = 4log_9(-x)+6 is the transformation of f(x) if stretched vertically by a factor of 4, reflected over the y-axis, and shifted up by 6 units.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

[tex]\rm f(x) = log_9(x)[/tex]

If stretched vertically by factor 4 then f(x) becomes:

[tex]\rm L(x) = 4log_9(x)[/tex]

If reflected over the y-axis:

[tex]\rm h(x) = 4log_9(-x)[/tex]

Now shifted up by 6 units:

[tex]\rm g(x) = 4log_9(-x)+6[/tex]

Thus, the function g(x) = 4log_9(-x)+6 is the transformation of f(x) if stretched vertically by a factor of 4, reflected over the y-axis, and shifted up by 6 units.

Learn more about the function here:

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giving brainliest!!

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