The number 5 in the function h(x) = -4.9x² + 6x + 5 represents the initial height of the ball. This is the height of the ball when it is released.
The function h(x) = -4.9x² + 6x + 5 is a quadratic function. This means that the graph of the function is a parabola. The parabola opens downward, which means that the ball is always falling.
The vertex of the parabola is at approximately (0.612, 5.418). This means that the ball reaches its highest point at a time of 0.612 seconds and a height of 5.418 meters.
The function h(x) = -4.9x² + 6x + 5 can be used to predict the height of the ball at any time. For example, if we want to know the height of the ball after 3 seconds, we can substitute x = 3 into the function and evaluate. This gives us a height of 2.5 meters.
The function h(x) = -4.9x² + 6x + 5 is a quadratic function. This means that the graph of the function is a parabola. The parabola opens downward, which means that the ball is always falling.
The vertex of the parabola is at approximately (0.612, 5.418). This means that the ball reaches its highest point at a time of 0.612 seconds and a height of 5.418 meters.
The function h(x) = -4.9x² + 6x + 5 can be used to predict the height of the ball at any time. For example, if we want to know the height of the ball after 3 seconds, we can substitute x = 3 into the function and evaluate. This gives us a height of 2.5 meters.
