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How to graph a parabola #f(x)=x^2#?

Answer 1

It's really easy once you are taught.

So you start with an #x# #y# table (t-chart) and then you write numbers in the #x# column. I typically use #-2# through #2#.

Those numbers are your #x# values. The equation is #y = x^2# tells you to take your #x# values individually and square them, giving you your #y# values.

Then you input the #y#-values into the chart. #-2# and #2# should have the #y#-value of #4#,

#-1# and #1# should be #1#, and zero is zero. Once you have your points (an x-y pair is a point), just graph the points and draw a line through them like this:

graph{x^2 [-10, 10, -5, 5]}

Hope this helps!

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Answer 2

Eva Abramson

To graph the parabola ( f(x) = x^2 ), you can create a table of values for ( x ) and ( f(x) ), then plot the points on a coordinate plane and connect them with a smooth curve. Alternatively, you can recognize that the graph is symmetric around the y-axis, with the vertex at the origin (0,0), and opens upwards.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.