Choose the function that shows the correct transformation of the quadratic function shifter 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 function that shows the correct transformation of the quadratic function shifter eight units to the left and one unit down is:

Option 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 answer is option C

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this