# How do you use the important points to sketch the graph of y=1/8x^2?

Jun 7, 2016

Put values of x in the equation and get the corresponding y values. You will get a parabolic graph. You could take points such as 0,-4,4,-8,8, etc.

#### Explanation:

Make a table of 'x' versus 'y'. Now put values of x and find corresponding values for y. In your question, we can start be putting x = 0, hence , y = $\left(\frac{1}{8}\right) \cdot 0 = 0$

x = 4, hence , y = $\left(\frac{1}{8}\right) \cdot {4}^{2} = 2$

x = -4, hence , y = $\left(\frac{1}{8}\right) \cdot \left({\left(- 4\right)}^{2}\right) = 2$

You have to be wise while choosing the values of x to put into the equation so that you get whole number values for y.
graph{(1/8)*x^2 [-10, 10, -5, 5]}