Math-in-Basketball-Take-the-Challenge-Answer-Key-FINAL-8.16.12.pdf

Parabolas it is symmetrical meaning that it has an

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parabolas, it is symmetrical, meaning that it has an axis of symmetry that passes through the vertex, or highest point. Since you now know the two values of t when the ball reaches a height of 10 feet, you can find the axis of symmetry by calculating the halfway point, or mean, between these two times. This will give you the value of t when the ball reaches its maximum height.
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Math in Basketball: Take the challenge Answer Key Strategy B: You can use the properties of the graph of the equation for h( t ) to find the value of t for the vertex or maximum point. For a parabolic function of the form 0 = a t 2 + b t + c, where a 0, the value for time (t) is represented by the x-coordinate of the vertex (- Æ ÁÇ ) of the parabola. 5. Solve your problem . Show all your steps. You may use the graph on the last page or show your work in the space below. Strategy A: Finding the mean between the two times (0.14 + 1.36) ÷ 2 = 0.75 Strategy B: Using (- Æ ÁÇ ) = (- ÁÄ Á∗º°Âý ) = ( ÁÄ ÀÁ ) = À Ä Your solution: (Round your answer to the nearest hundredth.) The time the ball will reach the maximum height is: ¾ or .75 seconds WHAT IS THE MAXIMUM HEIGHT OF THE BASKETBALL? 6. Plan it out. What strategy will you use? Select one or more representations, such as your equation or a graph (found on the last page), to calculate the maximum height the ball will reach on its way to the basket. Using the value of t , or time, when the ball reaches its maximum height, you can substitute that value into the equation you set up for h (t) to find the height of the ball at that time, or use graphical representation.
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