Use the vertex \left(1,6\right) and a point on the graph \left(6,-19\r

chillywilly12a

chillywilly12a

Answered question

2021-10-22

Use the vertex (1,6) and a point on the graph (6,19) to find the equation of the quadratic function, f(x).
Fx=

Answer & Explanation

Lacey-May Snyder

Lacey-May Snyder

Skilled2021-10-23Added 88 answers

Vertex (1,6)
Point on the graph (6,19)
First, we recall a function
f(x)=a(xh)2+k, which will give us vertex (h,k)
So the function we are looking for should look like
f(x)=a(x1)2+6
and since the parabola passes through (6,19)
19=a(61)2+6
a(5)2=196
a=2525
a=1
So, f(x) becomes
f(x)=1(x1)2+6
f(x)=6(x1)2

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