If you follow these 8 simple steps, you too can find the Area of a Quadratic!

Before you do anything, you have to have TI-Interactive. Assuming you know what you're doing in TII, you will need to set up some slide bars. You will need approximately 4 of them; you will need one for A, H, K, and M (slope). After you set up the slide bars, you will need to put in the value's for each. Our equation is y=2(x-1)²+2, and (A=2, H=1, K=2, and M=2. Here is what it should look like up to this point:

After you put all of these values in the slide bars, form a graph. Inside the graph, you will do the following:
 

• Inside the y1 box, enter the standard equation A*(x-h)²+K
• Inside the y2 box, enter M*abs(x-h)+k

After you do these things, save this to the document, and go back to the original page. When you are back in the original page, you will need to create a few text boxes. Here is what will be in those text boxes, and what they look like:

Next, you want to draw a line that passes through the non-vertex points of intersection, and then shade the triangle that is formed from the absolute value function and the horizontal line. This is how you do that:

Finally, you have to find the area for A and M when they are certain points. I found the area for A at 1, 2, 3, 4, and 5, and I found the area for M at 2, 3, 4, 5, and 6. This is the result of those area's:

Now you can feel as special as we do because you have successfully done this assignment, and you have turned y= A(x-h)²+K  into  .