Three friends—Elaine, Kelly, and Shannon—all start for their college volleyball team. Each plays a different position: setter, m
1 answer:
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Answer:
The required equation is:
Explanation:
Let us assume that the hole is at y = 0m, with x as the time.
From the question we have (-1s, 8m) as the vertex (here x being the time variable is supposed to be in seconds and y being the distance variable is supposed to be in meters)
At x = 1s, the ball gets to the hole, therefore we have point (1s, 0m)
We know that the vertex of the parabola y = ax² + bx + c is at
therefore we have:
We then have the following equations:
From the 3rd equation we have
1 X 2a = b.
Therefore we have:
We can simplify both equations and get:
The first equation now becomes:
With a, we can find the values of c and b.
Then the equation is:
Remember the cost cannot be a number lesser than zero. so the domain must be such that the total cost C(m) is not negative. Also the range will always be 0.5 and above provided our domain is greater than or equal to zero.
