Abridge spans a horizontal distance of 70m and
has a parabolic arch. at the centre of the bridge,
the arch is 25m high. determinean equation
that presents the parabolic arch

Step-by-step explanation:

The vertex form of the equation for a parabola is

y = a(x - h)² + k

where h and k are the coordinates of the vertex

and a is a constant.

Make the y-axis the axis of symmetry.

Data:

Vertex at (0, 25)

x-intercepts at (-35, 0) and (35, 0)

Calculations:

1. Substitute the coordinates of the vertex into the equation

y = a(x - 0)² + 25

y = ax² + 25

2. Substitute the coordinates of an x-intercept into the equation and solve for a

The graph below shows the profile of your bridge. It is 25 m high with a 70 m span.