The equation of parabola is
For point (-1,-9), equation of parabola is
For point (1,7), equation of parabola is
For point (-6,-14), equation of parabola is
So we have three equations , which are
Subtracting first two equation will give
Subtracting second and third equation gives
Substituting 8 for b, we will get
back substituting 8 for b and 1 for a, we will get
So we have
Therefore required equation is
Answer:
Solutions are (3,1) and (4,2)
Step-by-step explanation:
Graph is shown in the attached sheet
Given are two systems of equations and we have to solve them using graph
For graphing let us first prepare table for x and y.
1)
I line II line
x 0 4.5 3 x 0 2.5 3
y 3 0 1 y -5 0 1
The two lines intersect at (3,1)
Hence solution is (3,1)
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2)
I line II line
x 0 2 4 x 0 6 4
y 0 1 2 y 3 0 2
The two lines intersect at (4,2)
Hence solution is (4,2)
