Answer:
The equation of the parabola that models the path of the long jumper through the air is  .
.
Step-by-step explanation:
Mathematically, we know that parabolas are second-order polynomials and every second-order polynomials, also known as quadratic functions, can be constructed by knowing three different points of the curve. The standard form of the parabola is:

Where:
 - Horizontal distance from the start line, measured in meters.
 - Horizontal distance from the start line, measured in meters.
 - Height of the long jumper, measured in meters.
 - Height of the long jumper, measured in meters.
 ,
,  ,
,  - Polynomial constants, measured in
 - Polynomial constants, measured in  , dimensionless and meters, respectively.
, dimensionless and meters, respectively.
If we know that  ,
,  and
 and  , this system of linear equations is presented below:
, this system of linear equations is presented below:
 (Eq. 1)
 (Eq. 1)
 (Eq. 2)
 (Eq. 2)
 (Eq. 3)
 (Eq. 3)
The coefficients of the polynomial are, respectively:
 ,
,  ,
, 
The equation of the parabola that models the path of the long jumper through the air is  .
.
But we need  measured in centimeters, then, we use the following conversion:
 measured in centimeters, then, we use the following conversion:

Then, we get that:

Where  and
 and  are measured in meters and centimeters, respectively.
 are measured in meters and centimeters, respectively.
The equation of the parabola that models the path of the long jumper through the air is  .
.