Graphing Calculator Art: How to Make a Face

Updated March 23, 2017

Though a graphing calculator is capable of advanced mathematical computations and statistical data analysis, students mainly use these devices to draw the graphs of functions. A graphing calculator can plot the curves of several equations in a single viewing window, making it possible to draw recognisable pictures. You can input the equations of several semicircles to make a smiley face on your calculator's graphing window.

Press the "Y=" key to access the function input menu. This is where you will type the circle equations to make the smiley face on your graphing calculator.

Enter the equation "sqrt(100-x^2)" in the field labelled "Y1" and the equation "-sqrt(100-x^2)" in the field labelled "Y2." These are equations for semicircles with a radius of 10 and together they form the border of the face. The first equation generates the top half of the circle while the second generates the bottom half.

Enter "-sqrt(49-x^2)" in the field marked "Y3." This semicircle forms the smiling mouth.

Enter the equations "3+sqrt(4-(x-4)^2)" and "3-sqrt(4-(x-4)^2)" in the fields labelled "Y4" and "Y5." This forms the right eye.

Enter the equations "3+sqrt(4-(x+4)^2)" and "3-sqrt(4-(x+4)^2)" in the fields labelled "Y6" and "Y7." This forms the left eye.

Press the "Zoom" key and select "Zoom Square" from the drop-down menu. This removes the scaling distortion from the viewing window.

Press the "Window" key, highlight "Format" and select the "Axes Off" option. This removes the x and y axes from the graphing window so that your smiley face is unobstructed.

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About the Author

Nucreisha Langdon has written professionally since 1991. She has ghostwritten more than 20 romantic fantasy novels, while her nonfiction work has appeared in the "Gainesville Sun" and the "Austin Chronicle." Langdon holds a Bachelor of Science in mathematics and a Bachelor of Arts in English from the University of Florida.