How do I draw this out I am confused?

The bridge forms parabolic arch. The span of the arch is 60 m and its center is 10 m above either end.
(1) draw sketch of arch, include x and y axes where the vertex is at the origin.

Is 10 m the axis of symmetry? What does it mean by span of arch?

w ww.pitt.edu/~medart/image/glossary/rise.jpg

This should help

Thanks I understand the span..it says vertex is at the origin so it is (0,0( right? Then what is 10 m?

10m describes the height of the bridge from the ground

To draw the sketch of the arch, follow these steps:

1. Start by drawing the x and y axes. Draw a horizontal line for the x-axis and a vertical line for the y-axis, intersecting at the origin (0, 0).

2. To represent the vertex of the parabolic arch, mark a point on the y-axis at the height of 10 m. This point will be (0, 10).

3. Next, consider the span of the arch. The span is the horizontal distance between the two ends of the arch. In this case, the span is given as 60 m. From the vertex point, mark a point on the x-axis 30 units to the left and another point 30 units to the right. These points will be (-30, 0) and (30, 0) respectively.

4. Connect the three marked points (vertex and end points) with a smooth arc. This arc will form the shape of the parabolic arch.

Now, let's address your additional questions:

1. Is 10 m the axis of symmetry?
No, the axis of symmetry is a vertical line that passes through the vertex of a parabolic arch. In this case, the vertex is at (0, 10), so the axis of symmetry will be a vertical line through x = 0.

2. What does it mean by the span of the arch?
The span of the arch refers to the horizontal distance between the two ends of the arch. It indicates how wide the arch is. In this case, the span is given as 60 m, which means the distance from one end point to the other is 60 meters.