consider the following function. v(x)=-1/(x - 3)^2-1 step 1 of 2: determine the more basic function that has…

consider the following function. v(x)=-1/(x - 3)^2-1 step 1 of 2: determine the more basic function that has been shifted, reflected, stretched, or compressed.

consider the following function. v(x)=-1/(x - 3)^2-1 step 1 of 2: determine the more basic function that has been shifted, reflected, stretched, or compressed.

Answer

Explanation:

Step1: Identify the form of the given function

The given function $v(x)=-\frac{1}{(x - 3)^2}-1$ is in the form of a transformation of a rational - type function. The most basic function from which it is derived is of the form $y=\frac{1}{x^2}$.

Step2: Analyze the base function

The base function for $v(x)$ is $f(x)=\frac{1}{x^2}$. This is a power - function with a negative exponent and is a well - known basic function in the family of rational functions.

Answer:

$f(x)=\frac{1}{x^2}$