Graph the equation. Then describe the transformation from the parent function f(x)=x
y=-3x
To graph the equation y=-3x, we can start by creating a table of values and plotting the points on a coordinate plane.
| x | y |
|---|---|
| -2 | 6 |
| -1 | 3 |
| 0 | 0 |
| 1 | -3 |
| 2 | -6 |
Once we have plotted the points, we can connect them to create a straight line.
The transformation from the parent function f(x)=x to y=-3x is a vertical stretch by a factor of 3 and a reflection across the x-axis. This means that the graph of y=-3x is three times as steep as the graph of f(x)=x and is upside down compared to the parent function.