Question

How do you sketch the graph of `y=2/3x^2` and describe the transformation?

Answer 1

graph{(2/3)x^2 [-5, 5, -2.5, 2.5]}
Horizontal compression by `2/3`

Explanation:

To graph, I would plug in values for `x`, I would use
`-2,-1,0,1,2`

The points you would get would be

• `(-2,8/3)`
• `(-1,2/3)`
• `(0,0)`
• `(1,2/3)`
• `(2,8/3)`

Since there is a number in front of the `x` we know it affects the graph horizontally, either a compression or stretch