SOLUTION: the curve of a parabola passes through points (0,-4), (2,8) and (-2,0).Given that the axis of the parabola is parallel to y-axis.find the general equation of the parabola?.

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Question 364090: the curve of a parabola passes through points (0,-4), (2,8) and (-2,0).Given that the axis of the parabola is parallel to y-axis.find the general equation of the parabola?.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi

*Note: stand form for the equation of a parabola:

y = ax^2 + bx + c  

Pt(0,4)tells us c = -4

y = ax^2 + bx - 4  

(2,8) and -2,0)

8 = 4a + 2b - 4 

0 = 4a - 2b - 4 

8 = 8a - 8

16 = 8a

a = 2

b = 2   (8 = 8 + 2b - 4 )

Y= 2x^2 + 2x - 4



 

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