In order to make most (recognisable) shapes on a graphing calculator, you will need to use at least 2 graphs mapped onto the same set of axes. For example, to make a heart, you havce 2 equations - Y1 and Y2 where:
Y1=(3/2)x^(2/3)+√(20-x²)-3
Y2=(3/2)x^(2/3)-√(20-x²)-3
This will give you what looks very much like a Valentine heart shape (changing the 3/2 at the start of each part to a 2 may give a taller heart, but it is thinner and IMO doesn't look as nice - choosing a coefficient between about 1.3 and 2 would give you the best Heart shape)
There are various other shapes that can be made too, but I'm not sure how to do them off the top of my head
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A Texas Instruments graphing calculator can be used as a basic calculator, a scientific calculator and a graphing calculator.
A graphing calculator is a scientific calculator with a graphing display window. Otherwise, there are no limits to the type of calculations that can be made on either of them.
Usually a graphing calculator should have all the capabilities you expect from a scientific calculator (and more, since it does the graphing). For more details, check the manual of your calculator if you already have one.
Someone can find a free online graphing calculator at Meta-Calculator. On Meta-Calculator one can find graphing, scientific, matrix, statistics, and programmer's calculators.
A graphing calculator is used to plot graphs and solve equations. Most graphing calculators are programmable so one can create customized programs.