Question

What is the focus of a parabola?

Answer 1

The focus of Parabola:

• A parabola is a locus of a point that is equidistant from a fixed point called the focus.
• The focus of the parabola lies on the axis of the parabola.
• If the equation of a parabola is in vertex form $y=a{\left(x-h\right)}^2+k$, then the focus is $\left(h,k+\frac{1}{4a}\right)$.

Hence, the focus of the parabola is $\left(h,k+\frac{1}{4a}\right)$