Cathie is making a dress with a sash. the sash needs to be 72.8 inches long, but cathie's measuring tape is only in centimeters. which of the following shows the number of centimeters, with the correct number of significant digits, that cathie needs to measure in order for the sash to be 72.8 inches long? (1 inch = 2.54 centimeters)

The sash needs to be 184.912 cm. to equal 72.8 in.

Remember that for a quadratic function of the form  we can find its vertex with formula:  where  is the x-coordinate of the vertex; then we will find the y-coordinate by replacing  in our original function.

From the question know that  and , so lets replace those values in our vertex formula to find the x-coordinate of our vertex:



Now lets replace that value into our original function to find the y-coordinate of our vertex:



Finally, we have our vertex (6,-9)

Now to graph our function we are going to take advantage of its line of symmetry; if the vertex is (6,-9) the line of symmetry of the parabola is x=6, so if we chose the point (6,0), our second point will have coordinates (3,0) as you can see in the picture.