1) \( y=\frac{1}{2} \cdot(x+6)(x-4) \)

Did you know that the equation you provided is in factored form? It represents a quadratic function, which describes a parabola. Here, the roots (or x-intercepts) of the equation are \( x = -6 \) and \( x = 4 \). This means the graph of the function will cross the x-axis at those points, offering a great visual on where the function changes direction! Want to see this quadratic function in action? To gain a real-world perspective, think of projectile motion, like a basketball shot. The path of the ball follows a parabolic trajectory, modeled similarly by quadratic equations. By analyzing the function, you can pinpoint maximum height and the distance covered, helping coaches and players enhance their game strategy!