Question

Which function has a vertex at (2, 6)? f(x) = 2|x – 2| – 6 f(x) = 2|x – 2| 6 f(x) = 2|x 2| 6 f(x) = 2|x 2| – 6.

Answer 1

The equation at the vertex (2,6) will be given by  $F[x]=2|x-2|+6$

What will be the quadratic equation at a vertex(2,6)?

It is given that

vertex =(2,6)

The quadratic equation in the form of Vertex will be

$y=a(x-h)^2+k$

Now here  $(h,k)=(2,6)$

Now putting the values

$y=a|x-2|^2+6$

Thus the function will be

$F[x]=2|x-2|+6$

Thus equation at the vertex (2,6) will be given by  $F[x]=2|x-2|+6$

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