Answer:
Step-by-step explanation:
let the eq. of parabola be
y=ax²+bx+c
points (-1,0),(2,0),(3,4) and (0,-2) lie on it.
0=a-b+c
0=4a+2b+c
subtract
3a+3b=0
a=-b
4=9a+3b+c
-2=0+0+c
c=-2
a-b-2=0
-b-b-2=0
-2b-2=0
b+1=0
b=-1
a=-b=-(-1)=1
eq. of parabola is
y=x²-x-2
