Answer:
No, the path of the ball cannot be described by the equation
[tex]\mathbf{y = 0.5x^2 + 0.3x + 2}[/tex] because x is negative.
Step-by-step explanation:
The graph of a quadratic equation can be expressed by the equation:
[tex]\mathbf{y = ax^2+bx+c}[/tex]
where;
a, b and c indicates the real numbers and the parabola is illustrated when a ≠ 0
The parabola is said to be a curve from the graph in which any point is equal to the distance from a fixed point and a fixed straight line.
Now; when a football player tosses the ball through the air; the parabolic curve moves through the negative x axis and passes through the positive y axis to the positive x axis.
Therefore; the path of the ball cannot be described by the equation
[tex]\mathbf{y = 0.5x^2 + 0.3x + 2}[/tex] because x is negative.