Question 805816: I need to know if the points (17,24) or (13,27) are hit in a graph/parabola. The points i know in the graph are (0,4), (0,38), and (21,28). Thanks for helping me out
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I need to know if the points (17,24) or (13,27) are hit in a graph/parabola. The points i know in the graph are (0,4), (0,38), and (21,28).
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Using the points (0,4),(0,38) and (21,28),
Plot those points and you see the form must be x = ay^2 + by + c
Solve for a,b,c
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(0,4) gives: 16a + 4b + c = 0
(0,38)gives: 38^2a+38b+ c = 0
(21,28) gives: 28^2a+28b+c = 21
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Using a matrix function on my TI-84 I get:
x = -0.0875y^2 + 3.675y -13.3
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Checking::
-0.0875(28^2) + 3.675(28) -13.3 = 21
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Your Question:
Checking (17,24)
-0.0875(24^2) + 3.675(24) - 13.3 = 24.5
So (17,24) is not on the parabola.
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Checking (13,27)
-0.0875(27^2) +3.675(27)-13.3 = 22.1375
So (13,27) is not on the parabola.
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Cheers,
Stan H.
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