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

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=

Answer by MathLover1(20849) (Show Source): 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:

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