f(x)= 1/x, vertically stretched by a factor of 7, reflected in the y-axis, translated 5 units to the right, and translated 3 units downward.

Using translation concepts, it is found that the new definition for the function is:

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The parent function is:

A similar problem is given at link

-7/(x-5) - 3

Step-by-step explanation:

First off, to reflect an equation in the y axis, just multiply by -1. Now that it is reflected, to stretch an equation by a factor of 7, multiply it by 7. Now we have -7/x.

Then, to move an equation down by 3 units, simply subtract it by 3. Now we have -7/x - 3.

Lastly, since you want to translate it 5 units to the left, you want the equation to be undefined at x = 5 (because originally it is undefined at x = 0). To do that, set the denominator to x - 5. We arrive at our -7/(x-5) - 3.