Answer:
1. The equation of parabola is .
2. The equation of parabola is .
Step-by-step explanation:
1.
Let the equation of parabola be
It is given that the parabola passing through points (0,5), (2,-3) and (-1,12).
The value of c is 5.
The equation must be satisfied by the points (2,-3) and (-1,12).
Divide both sides by 2.
.... (1)
.... (2)
From (1) and (2), we get
Therefore equation of parabola is .
2.
Let the equation of parabola be
It is given that the parabola passing through points (2,0), (3,-2) and (1,-2).
.... (3)
The equation must be satisfied by the points (3,-2) and (1,-2).
.... (4)
.... (5)
On solving (1), (2) and (3), we get
Therefore equation of parabola is .