Question

Can someone help me find the arclength of the parabola that passes through the origin, (7,8) and (14,0) please?

Answer 1

http://mathworld.wolfram.com/ParabolicSegment.html

Answer 2

First you'll need to find the equation of this parabola. Assume that this equation has the form \[y=ax^2+bx+c\] Create 3 linear equations from it by subst. the coord. of the three given points. Determine the values of a, b and c.

From this point on, just apply the arc length formula. Note that this is done in the document to which Hero has referred you.