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

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Answer 1 · 2018-07-10T02:30:02

Below

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]}

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