SOLUTION: A frog leaps 2 feet. The highest point in the jump is 6 inches. Assume the frog starts at (0,0). What quadratic function models the path of the jump? Specify the units you use.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A frog leaps 2 feet. The highest point in the jump is 6 inches. Assume the frog starts at (0,0). What quadratic function models the path of the jump? Specify the units you use.      Log On


   

Question 814453: A frog leaps 2 feet. The highest point in the jump is 6 inches. Assume the frog starts at (0,0). What quadratic function models the path of the jump? Specify the units you use.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The equation will have the form:
+h%28t%29+=+-16t%5E2+%2B+b%2At+
You can see that at (0,0), both +h%28t%29+ and +t+
are zero
+0+=+-16%2A0%5E2+%2B+b%2A0+
The vertex is at ( -b/(2a) , .5 ) where
+a+=+-16+
+b+ is unknown
---------------
At the vertex, I can say:
+.5+=+-16t%5E2+%2B+b%2At+
+t+=+-b%2F%28-32+%29+
+t+=+b%2F32+
-------------
+.5+=+-16%2A%28b%2F32%29+%2B+b%2A%28b%2F32+%29+
+16+=+-16b+%2B+b%5E2+
+b%5E2+-+16b+-+16+=+0+
Use the quadratic formula to find +b+
Plug it into
+h%28t%29+=+-16t%5E2+%2B+b%2At+