@usn0814,
26. To find the y-intercepts, set x=0
3(1)^2+3(y-1)^2=6
3(y-1)^2=3
(y-1)^2=1
y-1=1 or y-1=-1
y=2 or y=0
The y-intercepts are (0,2) and (0,0)
To find the x-intercepts, set y=0
3(x+1)^2+3(-1)^2=6
3(x+1)^2=3
(x+1)^2=1
x+1=1 or x+1=-1
x=0 and x=-2
The x-intercepts are (0,0) and (0,-2)