1. Graphing f(x) = ax^9
Sign In
Make a table to find points on the curve. Then plot and connect the points.
Graph:
Comparison to the graph of f(x)=x^2: There is a vertical stretch by a factor of 32 of the graph of f.
To graph the function we will make a table of values.
| x | 3/2x^2 | n(x)=3/2x^2 |
|---|---|---|
| - 2 | 3/2( - 2)^2 | 6 |
| - 1 | 3/2( - 1)^2 | 1.5 |
| 0 | 3/2( 0)^2 | 0 |
| 1 | 3/2( 1)^2 | 1.5 |
| 2 | 3/2( 2)^2 | 6 |
Let's now draw the parabola that connects the obtained points. We will also draw the parent function f(x)=x^2.
From the graph above, we can note the following.
From the graph and the observations above, we can conclude that the graph of n is a vertical stretch by a factor of 32 of the graph of f.