Question 184012: write an equation for the following function in x-intercept form:
it shows the parabola,
and the following points are labeled:
(3,0) (7,0)
i think they're intercepts?
and then (6, -9)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! write an equation for the following function in x-intercept form:
it shows the parabola,
and the following points are labeled:
(3,0) (7,0)
i think they're intercepts?
---
Yes, they are roots, so the function has (x-3) and (x-7) as factors.
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and then (6, -9)
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Equation:
y = a(x-3)(x-7)
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Since the function passes thru (6,-9) substitute to solve for "a":
-9 = a(6-3)(6-7)
-9 = a*3*-1
a = -9/-3 = 3
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Equation: y = 3(x-3)(x-7)
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Cheers,
Stan H.
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