Question

Lef f(x) =4sqrt X If f(x) is the graph of f(c) shifted down 6units and left 6units. Write a formula for g(x)

Answer 1

For this question we are translating the function over the x-axis and the y-axis. To do that we just need to follow some rules as follows:

So if we need to move up a function we ad a value to it and if wee need to move down we subtract.

Now for horizontal translation we have:

Once we already know how to translate up and down, left and right we can calculate g(x) as follows:

And that is our final answer.