SOLUTION: can someone please help me with this. What is the vertex and x-intercepts for the quadratic function described in the situation. The sluggers were up to bat in the bottom of the

Question 77598: can someone please help me with this. What is the vertex and x-intercepts for the quadratic function described in the situation.
The sluggers were up to bat in the bottom of the ninth inning in a game against the ditchers. Theo Slam was up to bat. As he plugged the ball toward left field, it rose from 3 to 10 to 50 feet as the horizontal distance from home plate increased from 0 to 2 to 14 feet. Assume that the vertical distance varies quadratically with the horizontal distance.
Can someone please help me!!!!!!!!!!!!!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You have three tracking points: (0,3),(2,10),(14,50)
The equation is y=ax^2+bx+c
Substitute the point values and solve for a,b,c
3=0a+0b+c
10=4a+2b+c
50=196a+14b+c
----------
Solve the system of linear equations.
I used a TI calculator's matrix method to get:
X=A^-1B
a= -0.0119047
b= 5.5238095
c= 3
--------
EQUATION:
y=-0.119047x^2+5.5238095x+3
==========
Cheers,
Stan H.

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