Problema Solution
James's is not the best triple jump on record. That distinction belongs to Santjie, a frog who jumped 33 ft, 5 1/12 in. If Santjie's path in his jump is approximated by s= -1/200x^2+ 7/10x ,(where x is the horizontal distance covered in inches), what are the coordinates of the vertex of Santjie's path?
Answer provided by our tutors
We need to find the vertex of the quadratic function:
s= -1/200x^2+ 7/10x
The vertex (h, k) has the following coordinates:
h = -b/2a
k = (4ac – b^2) / 4a
a = -1/200
b = 7/100
c = 0
h = -(7/100)/(2*(-1/200))
h = 7
k = (4*(-1/200)*0 - (7/10)^2)/(4*(-1/200))
k = 24.5
The coordinates of the vertex are (7, 24.5).