Question 1198105: A soccer ball was kicked upwards. Its path can be modeled by the relation h=-0.2(d-5.5)^2 +7, where h is the ball’s height above the ground and d is the horizontal distance from where the ball was kicked, both in meters.
a) What is the vertex of the parabola?
b) What is the ball’s initial height?
c) Show the graph.
d) What does the vertex represent?
Answer by ikleyn(52801)   (Show Source):
You can put this solution on YOUR website! .
(a) The vertex of this parabola is d= 5.5, h= 7.
(b) The ball's initial height is the value produced by the formula at d= 0.
Substitute d= 0 into the formula and find h = -0.2*(0-5.5)^2 + 7.
Make the necessary calculations.
(c) Plot the graph on your own.
Plotting graphs is the students' job.
(d) In this problem, the vertex represents the point, where the socces ball is in the highest position.
Solved, answered and explained.
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