If the graph of the function defined by
f(x)=-4x^2-8
is translated vertically upward by 5 units, it becomes the graph of a function g .
find the expression for . g(x)

You have to understand the problem clearly before trying to answer the question. Only thing that needs to be done to answer the question is adding 5 with f(x). This will yield the required result.

g(x) = f(x) + 5
       = (4x^2 - 8) + 5
       = 4x^2 - 8 + 5
       = 4x^2 - 3

I hope that this is the answer that you were looking for and the answer has actually come to your desired help.

Polar coordinates is 8,9