To graph the function y = x^2/36, you can follow these steps:
1. Choose a set of x-values to plug into the equation. For example, you could choose x-values of -6, -4, -2, 0, 2, 4, and 6.
2. Calculate the corresponding y-values by plugging each x-value into the equation and simplifying. For example, if x = -6, then y = (-6)^2/36 = 1. If x = -4, then y = (-4)^2/36 = 1/3. Continue this process for each x-value.
3. Plot each point on a coordinate plane, using the x-value as the horizontal coordinate and the y-value as the vertical coordinate. For example, the point (-6, 1) corresponds to the x-value of -6 and the y-value of 1.
4. Connect the points with a smooth curve to create the graph of the function.
Alternatively, you could use a graphing calculator or an online graphing tool to quickly generate the graph of the function. Simply enter the equation into the calculator or tool, and it will generate the graph for you.