Explanation:
f(x)=3x²-x-2
a) (2,8)
f(2)=3(2²)-2-2
f(2)=3(4)-4
f(2)=12-4
f(2)=8
Hence, the point (2,8) is on the graph of f(x)
b) x=-1
f(-1)=3((-1)²)-(-1)-2
f(-1)=3(1)+1-2
f(-1)=3-1
f(-1)=2
c) x=-2
f(-2)=3((-2)²)-(-2)-2
f(-2)=3(4)+2-2
f(-2)=12+0
f(-2)=12

e) y=0
3x²-x-2=0
3x²-x-2=0
3x²-3x+2x-2=0
3x(x-1)+2(x-1)-0
(x-1)(3x+2)=0
x-1=0
x=1
3x+2=0
3x=-2
Divide both parts of the equation by 3:
x=-2/3
f) x=0
f(x)=3(0²)-0-2
f(x)=3(0)-2
f(x)=0-2
f(x)=-2