Question

MEDAL AND FAN!!!
A tunnel is in the shape of a parabola. The maximum height is 50 m and it is 10 m wide at the base as shown below.

A parabola opening down with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 50 meters and its width from left to right is 10 meters.

What is the vertical clearance 2 m from the edge of the tunnel?
I will post a picture in a second.

Answer 1

@phi

Answer 2

@UsukiDoll

Answer 3

do you know the equation of a parabola in "vertex form" ?

Answer 4

is it (x-h)^2? i kind of forget

Answer 5

hello?

Answer 6

look in your notes

Answer 7

ok hold on

Answer 8

y = a(x-h)^2 + k

Answer 9

My answer choice are:
18 m
32 m
46 m
4 m
I was thinking I could approximate at 32m...

Answer 10

where (h,k) is the vertex (in this case the "top" of the parabola)
next do you have a picture ?
with any luck you could sketch it. it would look like this