Question

what will be the equation after y=x^2 is transferred 3 units up and 5 units right?

Answer 1

look at what happens for typical functions

\[y = x^{2}\]

if you add or subtract to it

\[y = x^{2} + c\] where c is some constant it shifts up and down by c units

if you take

\[y = (x+d)^{2}\] where d is come constant then if d>0, it shifts to the left and if d<0 then it shifts to the right.

using multiplication by factors and addition/subtraction, you can figure out the final solution