Determine the equation of the quadrac function with vertex (2,4)

rompentskj 2021-12-03 Answered
Determine the equation of the quadrac function with vertex (2,4) and passing through the point (-1, -14).
Your answer should be in vertex form.
f(x)=
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Expert Answer

Coon2000
Answered 2021-12-04 Author has 15 answers

Let the vertex form of quadratic function
be
f(x)=a(xh)4+k, whese (h,k) is
the vertex.
We are given: vertex is (2, 4)
n=2,k=4
f(x)=a(x2)2+4
We are aslo given that function
(1,14)
Plug in f(x)=14 and x=1 we get
14=a(12)2+4
14=9a+4
144=99a=18
a=2
f(x)=2(x2)2+4

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