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# Graphing with a calculator!

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### Graphing with a calculator!

1. 1. Graphing with a Calculator!<br />By: Jordan Johnson<br />
2. 2. Problem: <br />A Nail Salon has 5 different Manicure and Pedicure options. <br />Price for each option: X’s <br />\$14, \$16 <br />\$18, \$22, \$28<br />Weekly Profit: Y’s <br /> \$640, \$760, <br />\$780, \$800,\$620 <br />
3. 3. Getting Started:<br />1. Entering the data- you hit the STAT button on your calculator, and it should look like this. <br />Next you need to hit 1. edit, and this should come up. <br />If there’s something in the column arrow over and highlight L1 and hit clear enter; the same for L2. <br />
4. 4. Entering Data in: <br />Once the list is up we can enter in the data. <br />Let L1 be the X’s and L2 be the Y’s. <br />Now type in the numbers in the L1 column. Make sure all of the data <br />is there. <br />Use the arrows to move to the L2 column and enter the Y data; make <br />sure there is the same amount of <br />data in both columns. <br />
5. 5. Turning on the Plot<br />Next turn on the plot so the data can be seen. To do this hit 2nd Y=, and you <br />should see this. <br />hit enter, on will be highlighted and hit enter again. <br />This allows the data to be seen. <br />
6. 6. Setting the window:<br />The next step is to change the window so the data will show up on the graph. <br />X-min. – smaller than smallest X. <br />X- max- bigger than biggest X. <br />Xscl- spacing <br />Y-min.- smaller than smallest Y. <br />Y-max.- bigger than biggest Y. <br />Yscl- spacing <br />Xres- don’t change<br />
7. 7. Setting the window continued:…<br />Hit WINDOW on the calculator. <br />Clear out the first number: <br />Type in the new number which, in<br />this case is 12. Continue until the window looks like this:<br />
8. 8. Graph <br />Hit graph. <br />You should see all the points. <br />The vertex is (22, 800) <br />Then you pick a point (16, 760) <br />Solve the problem: <br />y= a (x-h) ^2 + k <br />800= a (22-h) ^2 + k <br />800= a (22-16) ^2 + 760 <br />800/796= a796/796 <br />a= 200/199 answer: <br />y= 200/199(x-16)^2 +760 <br />