You throw a ball straight up from a rooftop The ball misses the rooftop on its way down and eventually strikes the ground A mathematical model can be used to describe the relationship for the balls height above the ground, y, after x seconds Consider the following data a Find the quadratic function y ax 2 bx c whose graph passes through the given points b Use the function in part (a) to find the value for y when x 5 Describe what this means x, seconds after the ball is thrown 1 3 4 y, ball's height, in feet, above the ground 224 176 104

Question: You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical

You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the relationship for the ball’s height above the ground, y, after x seconds. Consider the following data: x, seconds after the ball is thrown 1 3 4 y, ball's

a. Find the quadratic function y = ax² + bx + c whose graph passes through the given points.

b. Use the function in part (a) to find the value for y when x = 5. Describe what this means.

x, seconds after the ball is thrown 1 3 4 y, ball's height, in feet, above the ground 224 176 104

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