The prom committee has decided to create a replica of the St. Louis arch as a gateway to enter the prom. Because of the height of the ceiling they have decided that the arch should be 8 feet high. They don't want the arch to be too wide or too narrow. After much discussion they finally agreed that at a height of 6 feet the arch must be 4 feet wide.

Your job is to build the arch. Research the arch on the internet to see what it looks like and decide what materials would be good to use to make it look realistic.

Use the links below to help you determine an equation for the arch. Use the equation to determine the width of the arch at its base.

Links:

Once you have explored the link think about the following questions:

Enter your thoughts about them on the group blog.

What determines the overall shape of the graph?

What determines the horizontal position of the graph?

What determines the vertical position of the graph?

Can you make the graph look like a horizontal line? How?

What is missing from the line? Why?

Rational equations are tricky because you can't divide by zero.

What happens to the graph as you get close to dividing by zero?

What determines the shape and postion of the graph?

Try to find the answers at this link: