We will investigate how to best represent a parabolic graph using a function description.
All parabolas are denoted as either a " U " or inverted " U ". There are two principal parameters of a parabola. The vertex i.e the maximum or minimum point attained by the parabola. The line of symmetry or focus point: The line of symmetry can either be vertical or horizontal but it always passes through the focus point.
We are given a graph of a parabola that has two zeros which can be read off from the plot.
We will locate these zeros and write them down:

All parabolas are expressed by a quadratic polynomial function. The quadratic polynomial can be expressed in factorized form as follows:

Where,

We will express our located zeros in the factorized quadratic expressed above:

Then we will try to solve the parenthesis and expand the factorized form as follows:

Group the similar terms and simplify:

Therefore the function that best describes the given plot is:
