Find the equation of the quadratic function f whose graph

goymdujf

goymdujf

Answered question

2021-12-02

Find the equation of the quadratic function f whose graph is shown below.
(3,4) (4,1)

Answer & Explanation

oces3y

oces3y

Beginner2021-12-03Added 21 answers

Let tge equation of parabola in verter form
f(x)=y=a(xh)2+k -1
Where (n,k) be the verter
From the given graph, we have
Verter (n,k)=(3,4)
Then from (1)
f(x)=a(x3)2+4 -2
Also (2) passes throug (4,1)
f(4)=1
Then f(4)=a(43)2+4=1
+4=1
a=3
Hence the equation of quadratic function
f(x)=3(x3)2+4
=3(x26x+9)+4
=3x2+18x27+4
=3x2+18x23
f(x)=3x2+18x23

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