Begin with standard form
y=a(x-h)^2+k
a=y-k/(x-h)^2
a=240-245/(0-1)^2
a=-5/1
a=-5
Solve the standard form equation for the two x intercepts
Let y=0, and just solve for the value of x.
y=-5(x-1)^2+245
-5(x-1)^2=-245
(x-1)^2=-245/(-5)
(x-1)^2=49
x-1=0+-7
x=1+-7
Either x=-6, or x=8
(-6,0) and (8,0)