y = -x^2 + x +2
let x=0 to find y intercepts
y=2
therefore y intercept is (0,2)
let y=0 to find x intercepts
0 = -x^2 + x +2
x^2-x-2=0
(x-2)(x+1)=0
x=2,-1
therefore x intercept is (2,0) and (-1,0)
since it is y = -x^2 + x +2
it is a concave down parabola since the coefficient of x^2...