A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 196 feet and a max height of 35 feet. Find the height of the arch at 25 feet from its center.
I've done this problem now about 5 or 6 times.. and the answer I get is different almost every time. I wish I could draw it to show what my thoughts on the set up are. basically I did y=ax^2 first but then thought I needed to find P. so that would be y=1/4p(x^2). somewhere along the lines I'm almost positive I just confused myself and did something wrong. I ended up with about 25.8. The other problems in this same vein I have been able to understand and figure out because of help from here, but this one has me stumped.. maybe its the wording or something. maybe its just late. help would be appreciated.