Choose the function that shows the correct transformation of the quadratic function shifted eight units to the left and one unit down. a. f(x)=(x-8)^2-1 b. f(x)=(x-8)^2+1 c. f(x)=(x+8)^2-1 d. f(x)=(x+8)^2+1

The answer is. C.

Step-by-step explanation:

If we have a function f(x) then we can move its graph horizontally making the transformation

Then if the graph will move c units to the left.

If the graph will move c units to the right.

If we apply the transformation then the graph of f(x) will move vertically h units.

If the displacement will be h units up

If the displacement will be h units down.

In this problem we have the parent function and we want to move 8 units to the left and 1 unit to the bottom.

Then we apply the transformations described above with .

Now we must move the function 1 unit down, with .

The correct answer is option C