13. Write an equation in standard form for the quadratic function. [2] -4- -12

College Algebra
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Author:Jay Abramson
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Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 6PT: Solve the following application problem. A rectangular field is to be enclosed by fencing. In...
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13. Write an equation in standard form for the quadratic function. [2]
2X
-4
8-
-12
14. If the function f ( x) =ax²+ 6x+ c has no x-intercepts, what is the mathematical
relationship between a and c? [2]
Transcribed Image Text:13. Write an equation in standard form for the quadratic function. [2] 2X -4 8- -12 14. If the function f ( x) =ax²+ 6x+ c has no x-intercepts, what is the mathematical relationship between a and c? [2]
11. A football is kicked off the ground. After travelling a horizontal distance of 24m, it just
passes over a tree that is 3 m tall before hitting the ground 28 m from where it was
kicked. [8]
3 m
24 m
28 m
a. Consider the ground to be the x-axis and assume the vertex lies on the y axis.
Determine the equation of the quadratic function that models the path of the ball.
b. Determine the maximum height of the football.
c. How far has the ball travelled horizontally when it reaches its maximum height?
d. Suppose the football is kicked from a starting point at the origin. Develop a new
equation of the quadratic function that represents the football.
e. Describe similarities and differences between the functions found in part a) and
d).
Transcribed Image Text:11. A football is kicked off the ground. After travelling a horizontal distance of 24m, it just passes over a tree that is 3 m tall before hitting the ground 28 m from where it was kicked. [8] 3 m 24 m 28 m a. Consider the ground to be the x-axis and assume the vertex lies on the y axis. Determine the equation of the quadratic function that models the path of the ball. b. Determine the maximum height of the football. c. How far has the ball travelled horizontally when it reaches its maximum height? d. Suppose the football is kicked from a starting point at the origin. Develop a new equation of the quadratic function that represents the football. e. Describe similarities and differences between the functions found in part a) and d).
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