Concept explainers
(a)
To analyse: The player will make the shot or not.
(a)
Answer to Problem 86E
Yes, the player will make the shot
Explanation of Solution
Given information:
The professional basketball player’s shot is modelled by the function. The value of x and y is measured in feet.
Formula used:
Substitution method is used
Calculation:
The player will make the shot if the point (3, 0) is on the parabola (a solution). Substitute the point & evaluate:
Yes, the player will make the shot
Conclusion:
Yes, the player will make the shot
(b)
To find: the quadratic function in the standard form that models the path of the shot.
(b)
Answer to Problem 86E
The function is:
Explanation of Solution
Formula used:
The intercept form:
Calculation:
Two x-intercepts are given: (3, 0) & (13, 0)
The
Substitute the intercepts & simplify:
The other point, (10, 1.4), to find the value of a:
Therefore, the function is:
Simplify,
Conclusion:
The function is:
Chapter 8 Solutions
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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