Question 972711
Start by moving the x to the other side
[y^2/256]= 1- [(x-10)^2/64]   Now multiply by 256 and then take the square root.

Y^2= 256-4(x-10)^2
Y=+/- sqrt  [256-4(x-10)^2]    I will call this (1);  Notice that it is a difference of squares.

= sqrt {(16+2(x-10)) (16-(2(x-10))}  sqrt{ (2x-4) (-2x+36)}  I will call this (2)
I graphed (1) below, but (2) graphs the same on a TI-83.

{{{graph(300,300,-1,20,-1,20,sqrt(256-(4(x-10)^2)))}}}