Write the quadratic function for the parabola having vertex(4,2) and passing through the point (1,11)

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25-02-2018
Mathematics

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Write the quadratic function for the parabola having vertex(4,2) and passing through the point (1,11)

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Quedog0 Quedog0 · Answer 1 · 2018-02-25T17:49:01+01:00

Quedog0 Quedog0

25-02-2018

So the function we are looking for should look like f(x)=a(x-1)2-2, and since the parabola passes through (4,5), we have 5=a(4-1)2-2, which means 5=9a-2, so a = (7/9) and f(x) = (7/9)(x-1)2-2.

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