State the various transformations applied to the base function f(x) =x^ 2 to obtain a graph of the tlong (x) = (x - 3) ^ 2 + 5

The base function was shifted 3 units right and 5 units up to obtain the transformed function.

Step-by-step explanation:

The base function is

This is a parabola that opens up with vertex at origin.

The transformed parabola has equation:

Comparing to

We have the vertex of the transformed function at (h,k)=(3,5).

This is in the first quadrant.

This means the base function was shifted 3 units right and 5 units up.

hi,

6x times 4 is 24x and 5 times 4 is 20, so the answer is 24x+20.

hope this and for a little humor i am groot.