1. Graphing f(x) = ax^24
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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 shrink by a factor of 0.2 followed by a reflection in the x-axis of the graph of f.
To graph the function we will make a table of values.
| x | - 0.2 x^2 | q(x)=- 0.2 x^2 |
|---|---|---|
| - 4 | - 0.2( - 4)^2 | - 3.2 |
| - 2 | - 0.2( - 2)^2 | - 0.8 |
| 0 | - 0.2( 0)^2 | 0 |
| 2 | - 0.2( 2)^2 | - 0.8 |
| 4 | - 0.2( 4)^2 | - 3.2 |
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 k is a vertical shrink by a factor of 0.2 followed by a reflection in the x-axis of the graph of f.