Question

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

Answer 1

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 `1/2`, your graph will be wider

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

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

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