There are various situations described by quadratic functions. Some of them are:-
1. When a rocket is fired upward, then the path of the rocket is defined by
a ‘quadratic function.’
2. Shapes of the satellite dish, reflecting mirror in a telescope, lens of the
eye glasses and orbits of the celestial objects are defined by the quadratic
functions.
Satellite Dish Reflecting Mirror Lens of Spectacles
3. The path of a projectile is defined by a quadratic
function.
4. When the brakes are applied to a vehicle, the stopping distance is calculated by using
a quadratic equation.
Example-1.
Represent the following situations with suitable mathematical equations.
i. Sridhar and Rajendar together have 45 marbles. Both of them lost 5 marbles each,
and the product of the number of marbles now they have is 124. We would like to find
out how many marbles each of them had previously.
ii. The hypotenuse of a right triangle is 25 cm. We know that the difference in lengths of
the other two sides is 5 cm. We would like to find out the length of the two sides?
