The roots of the equation of a quadratic function are

tabita57i

tabita57i

Answered question

2021-08-12

The roots of the equation of a quadratic function are x=3 and x=5. Find an equation for the quadratic function that contains the point(1,-24).

Answer & Explanation

hesgidiauE

hesgidiauE

Skilled2021-08-13Added 106 answers

The roots are x=3 and x=5
f(x) =a(x-3)(x-5)
It passes through (1,-24)
-24=a(1-3)(1-5)
-24=a(-2)(-4)=8a
a=248a=3
f(x)=-3(x-3)(x-5)
=3(x25x3x+15)
f(x)=3x2+24x45
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-14Added 2605 answers

Answer is given below (on video)

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