The height of a cable in a suspension bridge changes based on the horizontal distance from the tower supporting the cable. The graph shows the relationship between horizontal distance and height.

For what horizontal distance is the height the smallest?

250 feet * this is what I think*

300 feet

500 feet

900 feet

250 feet

Step-by-step explanation:

Vertex: (250,300)

Minimum height is 300 when the horizontal distance is 250

Step-by-step explanation:

Step 1:  Find the smallest height

If you look at the graph, you can tell that at 250 feet, the height in feet is the lowest and it is at 250.  Therefore, the vertex is also (250, 250).  But, we are just looking for the x-value which will be 250.

 Option A, 250 feet... you were correct :)  Good Job