# How do you sketch the graph of y=-1/2x^2 and describe the transformation?

Jul 10, 2018

Below

#### Explanation:

If you have a NEGATIVE sign, you will flip the equation over the X-AXIS.

Depending on the number in front of your equation, your graph will become either narrower or wider. Since you have a $\frac{1}{2}$, your graph will be wider

Below is $y = {x}^{2}$ graph{x^2 [-10, 10, -5, 5]}

Now, below is your $y = \frac{1}{2} {x}^{2}$ Notice that your graph is wider than $y = {x}^{2}$ graph{1/2x^2 [-10, 10, -5, 5]}

Finally, below is your $y = - \frac{1}{2} {x}^{2}$ Notice that this is simply your $y = \frac{1}{2} {x}^{2}$ flipped on its x-axis. graph{-1/2x^2 [-10, 10, -5, 5]}