Question

What is the focus of the parabola (y-3)^2=8(x-5)?

Answer 1

Hello,

Let's suppose y'=y-3
and x'=x-5
Parabola  become y'²=8x' whose focus is (8/4,0)=(2,0)

y=y'+3==>y=0+3=3
x=x'+5==>x=2+5=7
Focus is (7,3)
Rem for parabola y²=kx focus is (k/4,0)