x^2-20x+75=y (x-100)^25=y vertex= (100,-25)COMPLETE THE SQUARE CORRECTLY and show the mistake in the above work.

For the equation x^2-20+75=y, we see that there is no term
with x. If we are to complete the square there has to be a term with
x.

I take the equation as

can
rewrite it as: x^2 - 20x + 75 = y

=> x^2 - 20x + 75
+ 25 = y + 25

=> x^2 - 20x + 100 = y +
25

=> (x - 10)^2 = y -
(-25)

Therefore the vertex is (10 ,
-25)