The graph of g(x)
is f(x) translated to the left 8 units and up 2 units. what is the function rule
for g(x) given f(x) = x^2? ?
show your work and explain if possible.
everything so much in : )

 The required function rule for g(x) is

Step-by-step explanation:  Given that the graph of g(x)  is f(x) translated to the left 8 units and up 2 units, where f(x) is given by

We are to find the function rule for g(x).

We know that

if a function y=p(x) is translated h units left and k units up, then h is added to x and k is subtracted from y.

For the given function, we have

h = 8 and k = 2.

Therefore, we get from (i) that

The graphs of f(x) and g(x) are shown in the attached figure below.

Thus, the required function rule for g(x) is

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

the answer is 31.27mph