A real-world scenario that can be modeled by the quadratic equation is projectile motion. When an object is launched into the air, its path can be represented by a parabolic curve.
A real-world scenario that can be modeled by the quadratic equation is projectile motion. When an object is launched into the air, its path can be represented by a parabolic curve. The equation used to model this motion is usually in the form of y = ax^2 + bx + c, where y represents the height or vertical position of the object at a given time, and x represents the time elapsed. For example, if we throw a ball into the air, the quadratic equation can describe the height of the ball at different time intervals.
In the given image, you can see the path of a projectile which can be modeled by a quadratic equation. Notice how the height of the projectile changes over time, creating a parabolic shape.