Question 1078140
(0,1) is the initial coordinate, and this is a parabola, convex upward.
f(×)=-0.25x^2+0.75x+1
0.25x^2-0.75x-1=0 when the frog hits the lily pad
x^2-3x-4=0
(x-4)(x+1)=0
x=4 as only positive root.  The frog lands 4 feet away.
The height is the vertex with x-value -b/2a=3/2=1.5
f(1.5)=1.5625, substituting 1.5 for x in the original equation. The frog was 1.5625 feet high, or 0.5625 feet above the stump.
{{{graph(300,300,-1,5,-2,3,-.25x^2+0.75x+1)}}}