How is the the graph of y=1/4x -4 obtained from the graph of y=1/x?
Horizontally stretched by a factor of 4 and shifted up by 4 units.
Vertically stretched by a factor of 4 and shifted down by 4 units. < my answer
Horizontally compressed by a factor of 4 and shifted down by 4 units.
Vertically stretched by a factor of 1/4 and shifted up by 4 units.
To obtain the graph of y = 1/4x - 4 from the graph of y = 1/x, you need to apply two transformations.
First, the graph is horizontally stretched by a factor of 4. This means that every x-coordinate of the points on the original graph will be multiplied by 4. For example, if the original graph had a point (1, 1), the transformed graph will have the point (4, 1).
Second, the graph is shifted down by 4 units. This means that the y-coordinate of every point on the graph is decreased by 4. For example, if the original graph had a point (2, 2), the transformed graph will have the point (2, -2).
Therefore, the correct answer is: Horizontally stretched by a factor of 4 and shifted down by 4 units.
1/(4x) takes 1/4 as long to get to the same y, so the graph is compressed by a factor of 4 horizontally.
the rest is easy ...