SOLUTION: A frog leaps 2 feet horizontally. The highest point in the jump is 1/2 foot. Assume the frog starts at (0, 0). What quadratic function models the path of the jump?

Question 910154: A frog leaps 2 feet horizontally. The highest point in the jump is 1/2 foot. Assume the frog starts at (0, 0). What quadratic function models the path of the jump?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The general function is:

Note that if then
, so that gives you
the point (0,0)
-------------------------
You also are given the point
(2,0), so

-------------------------
The formula for the x-coordinate of the
highest point is:

By substitution:

--------------------

and, since

and

---------------
So, the equation is:

---------------------
Here is the plot:

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