It is reflected across the x-axis and compressed horizontally by a factor of three, which is the right response.
The following step transforms the graph of the parent function, y = 1/x, to produce the graph of y = -1/(3x):
Three times horizontal compression: The graph is compressed horizontally by a factor of three, as shown by the "3" in the denominator of the formula 3x. In comparison to the parent function, this indicates that the graph is thinner.
Reflection over the x-axis: The graph is mirrored over the x-axis when there is a negative sign (-1) in front of the fraction. This represents every point on the x-axis.
Question
How is the graph of the parent function y = startfraction 1 over x endfraction transformed to create the graph of y = negative startfraction 1 over 3 x endfraction? it is horizontally stretched by a factor of 3 and reflected over the y-axis. it is translated 3 units down and reflected over the x-axis. it is horizontally compressed by a factor of 3 and reflected over the x-axis. it is translated 3 units down and reflected over the y-axis.