Question

How do you sketch the graph of `y=8/3x^2` and describe the transformation?

Answer 1

This graph will be a parabola since one of the terms are squared.

Explanation:

The `x^2` term means that the graph will be a parabola. There are three ways to graph this quadratic parabola.

1. Use a table: Choose some `x` values and put them into an `x` and `y` table. Calculate the `y` values by subbing the `x` values into the given equation. Then graph the coordinates from the table.
2. Since the quadratic formula is given to vertex form, plot the vertex which is (0,0) and use the step pattern which is `8/3` to graph the other coordinates.

In the end, your graph should look like the one given below.
graph{y=8/3 x^2 [-10, 10, -5, 5]}

To describe the transformation use "RST". In other words, describe the reflection of the parabola if there is one, then the stretch or compression factor and then lastly the translation.