Graph Quadratic Functions In Vertex Form Worksheet Page 5

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5.1 Application and Extension
2
1) Graph the following: f(x) = -2(x – 3)
+ 10
2) Tell whether there is a minimum value or maximum
value. Then find the minimum or maximum value.
2
Y = .25(x + 7.4)
+ 5.25
3) Bean Skywalker is practicing his new found Jedi skills by using the Force to move a football through the goal post.
2
His Jedi-intellect tells him that the equation of the football’s flight is y = −0.01(x – 35)
+ 9, where x is horizontal
distance traveled and y is vertical distance (both in feet).
a) Graph the path of the football. You may need to make a table.
b) What is the highest that Bean Skywalker can get the football off the ground?
c) How far in the air does the football travel when Bean Skywalker uses the force?
2
d) Darth Vader shows up for an EPIC duel. He claims that the equation of his line is y = -0.02(x – 43)
+ 18. Graph
the flight of his football on the same graph. You may need to make a table.
e) How high can Darth Vader get the football off the ground?
f) Who can get the football to travel farther down the field? How much farther?

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