Jamie kicked a soccer ball that traveled along a path described by the parabola y = -x^2 +8x, where y equals the height of the s
2 answers:
Equation of any Parabola is of the form y=
If a is negative the parabola opens down.
The given equation of soccer ball that traveled along a path was y=
Comparing the two equations we have a=-1,b=8
As a is negative the parabola opens down and will have the maximum point at vertex .
The x of vertex is given by x=
Substituting a and b values we have:
x=
The y of vertex is y=
The highest point the soccer ball hit the ground is 16 ft.
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The function and the first value stated for x are confusing.
Doing some research, I found that the problem is to evaluate the function
for x = - 1 and x 2.
The solution is:
1) For x = - 1
2) For x = 2
Doing some research, I found that the problem is to evaluate the function
The solution is:
1) For x = - 1
2) For x = 2
Answer:
Step-by-step explanation:
We have the two points: (0, 11) and (3, 50).
And we want to find the rate of change in y relative to x, where x is the gallons and y is the miles.
In simple terms, we want to find the slope between the two points.
So, let's use the slope formula:
Let (0, 11) be (x₁, y₁) and let (3, 50) be (x₂, y₂). Substitute. Let's also put "miles" in the numerator with the Ys and "gallons" in the denominator with the Xs. This yields:
Subtract and reduce:
And we're done!