Answer:
Step-by-step explanation:
Consider the equation that shows flea's motion is .
Since the origin is located at the point from where the flea jumped,
So, passes through (0,0).
That is, (0,0) must satisfy ,
Now, it travels 15 cm horizontally from where it started.
That is, passes through (15,0).
(Because c=0)
...... (1)
Again, it jumps from the ground to a height of 30 cm,
So, the y-coordinate of vertex of is 30.
Now, the x-coordinate of vertex of the quadratic function must be half of the distance from its starting point to final point.
That is, x-coordinate of the vertex = = 7.5,
Thus, vertex = (7.5, 30)
(7.5, 30) must satisfy
That is,
...... (2)
Equation (1) - 2 × equation (2),
225a - 112.5a = -60
112.5a = -60
From equation (1),
Substitute the values of a, b and c in the quadratic equation ,
Which is the required quadratic equation.
