To determine how far from the diving platform the diver enters the water, we find the roots of the quadratic function \( f(d) = d^2 - 7d + 6 \) by solving \( f(d) = 0 \). The diver enters the water at 1 foot and 6 feet from the platform, as these are the points where the height is zero. The deepest point the diver reaches occurs at the vertex of the parabola, which can be calculated using the formula \( d = -\frac{b}{2a} \); in this case, the vertex is at \( d = 3.5 \) feet, where the diver reaches a maximum depth of -2.25 feet below the water's surface.
The quadratic function f(d)= d2−7d+6
models the path that a diver takes when they dive from a platform at the edge of a pool, where height in feet is a function of distance in feet. Write 3 sentences answering these questions and including units. How far from the diving platform does the diver enter the water? How far from the diving platform does the diver resurface? What is the deepest that the diver goes in the water?(3 points)
1 answer