f(x) = –16x2 + 22x + 3
part a: what are the x-intercepts of the graph of the f(x)? show your work.
part b: is the vertex of the graph of f(x) going to be a maximum or minimum? what are the coordinates of the vertex? justify your answers and show your work.
part c: what are the steps you would use to graph f(x)? justify that you can use the answers obtained in part a and part b to draw the graph.

To find the x-intercepts, substitute in 0 for y and solve for x. X intercepts: (3/2,0),(-1/8,0) The vertex will be a maximum. To find the vertex, rewrite in standard form and use vertex form.The points of the vertex are: (11/16,169/16). To graph you will want to first graph the y-intercepts, then your x intercepts. Now plug in other numbers into the equation to find the rest of the points. The graph should look like this:

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. if you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.