Question

Which of the following represents vertex form of a quadratic function?

• A. $f\left(x\right)=a{x}^2+bx+c$
• B. $f\left(x\right)=a(x-h{)}^2+k$
• C. $f\left(x\right)=(x-x_1)(x-x_2)$
• D. None of these

Answer 1

Answer: (B)

$f\left(x\right)=a(x-h{)}^2+k$

Vertex Form of a Quadratic Function is used to determine the $vertex$ of the $Parabola$ that is graphical representation of a quadratic function.

The vertex form of the quadratic equation is given by

$f\left(x\right)=a(x-h{)}^2+k$

where $(h,k)$ is the Vertex of the Parabola

and $x=h$ is the Axis Of Symmetry.