Question 816314: You are trying our to be the new field kicker for the New England Patriots. You used a motion sensor during practice to develop an equation that models the vertical height of your kick(y) in feet and the horizontal distance traveled(x) in yards. The equation y=-.12x^2+6.85x describes the trajectory of the football during your best practice kick.
A) Find the y-intercept, x-intercepts and vertex and create a graph that represents the path of the field goal attempt.
B) In order to successfully complete a field goal, your kick must clear the crossbar, which is located 10 feet above the ground. What is the longest field goal you can successfully complete?
C) Stephen Gostkowski, the current field goal kicker for the Patriots, has a career best field goal length of 53 yards. Who can kick the longest field goal? Is this the only thing the Patriots might consider when deciding who should be their kicker ?
Thank you for any help, much is appreciated.
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! y=-.12x^2+6.85x
parabola
focus | (28.5417, 95.6719)
vertex | (28.5417, 97.7552)
semi-axis length | 2.08333
focal parameter | 4.16667
eccentricity | 1
directrix | y = 99.8385
y=0 x = 57.0833 x intercept
x=0 y=0 y intercept
b}10=-.12x^2+6.85x
x = 55.5841
c)
salary
accuracy
behavior off the field ie criminal record
team spirit
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