Question

The x-intercept was substituted incorrectly

write the correct equation

an equation of the parabola is y =__________​

Answer 1

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