SOLUTION: You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the relatio
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Question 1124230: You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the relationship for the ball's height above the ground, y, after x seconds.
Below is the table:
x, seconds after the ball is thrown. y, ball's height, infeet, above the ground
1 339
3 321
4 264
Find the quadratic function y= ax2 + bx + c whose graph passes through the given points.
Y=
You can put this solution on YOUR website! Below is the table:
- {seconds after the ball is thrown) -(ball's height, infeet, above the ground)
|
Find the quadratic function whose graph passes through the given points.
...plug in , ........eq.1
...plug in , ........eq.2
...plug in , ........eq.3
------------------------------solve the system
........eq.1 ........eq.2
-----------------------------------------subtract eq2 from eq1
....solve for ...............eq.1a
go to
........eq.3 ........eq.2
-----------------------------------------------subtract eq.2 rom eq.3
...............eq.1b
from eq.1a and eq.1b we have:
............solve for
go back to ...............eq.1a, substitute
go to ........eq.1, substitute and
then, your equation is:
