# How do you graph #y =1/x^2#?

The graph of this function looks like a bell centred around the y axis.

The y axis becomes a vertical asymptote of your function; basically the graph of your function will be a curve that gets as near as possible to the y axis without ever crossing it.

This function is particularly interesting when describing the phenomenon of Resonance in physics!

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To graph the equation y = 1/x^2, you can start by creating a table of values. Choose different values for x, calculate the corresponding y-values using the equation, and plot the points on a coordinate plane. Since the equation involves x^2 in the denominator, it is important to include both positive and negative values of x to accurately represent the graph. Once you have plotted several points, connect them smoothly to form a curve. The graph of y = 1/x^2 will be a hyperbola that opens upwards and downwards, passing through the points (1, 1), (-1, 1), (2, 0.25), (-2, 0.25), (3, 0.111), and so on.

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