SOLUTION: A parabola passes through (2,0), (3,0) and (0,3). Find it's equation.

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Question 356349: A parabola passes through (2,0), (3,0) and (0,3). Find it's equation.
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Since it has zeros at and , the quadratic equation has the form,

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Use the last point (,) to find a.







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Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi,

parabola passes through(2,0), (3,0) and (0,3). 



PT(2,0)and PT(3,0) tells us the axis of symmetry is x = 2.5 and 2.5 is the x value of the vertex



y = a(x-2)(x-3)

3 = a*6

1/2 = a

   (h,k) is the vertex



(3,0)

0 = 1/2 * 1/4 + b

b = -1/8

y = .5(x-2.5) -1/8





 

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