SOLUTION: Creating a Quadratic Model of the form y = a(x – h)2+k
Consider the path of a softball that was thrown from right field to third base. The
data points of the ball’s path are
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-> SOLUTION: Creating a Quadratic Model of the form y = a(x – h)2+k
Consider the path of a softball that was thrown from right field to third base. The
data points of the ball’s path are
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Question 979523: Creating a Quadratic Model of the form y = a(x – h)2+k
Consider the path of a softball that was thrown from right field to third base. The
data points of the ball’s path are given in the table. The values of t represent the
time in seconds after the ball was released, and y represents the height of the ball
in feet.
Time(sec) t 0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0
Height (ft) y 5 11 16 19 21 22 21 19 16 12 6
1. Graph the points defined by (t,y) in the table.
2. Select a point that you think best represents the vertex of the parabola.
Label this point (h,k).
(h,k) = ___________
3. Substitute the values of h and k into the formula y = a(t – h)2
+ k, and write
the equation here:____________________
4. Choose a different point (t,y) from the graph. Substitute these values into
the equation in step 3 and then solve for a.
