Question

Question is timed! Please Answer ASAP

How is the graph of the parent function y=1/x transformed to create the graph of y=-1/3x?

A.) It is horizontally stretched by a factor of 3 and reflected over the y-axis.
B.) It is translated 3 units down and reflected over the x-axis.
C.) It is horizontally compressed by a factor of 3 and reflected over the x-axis.
D.) It is translated 3 units down and reflected over the y-axis.

Answer 1

The answer is A.

Explanation:

the 1/3 compresses it, and the (-) reflects it over the y axis.

Answer 2

It is horizontally compressed by a factor of 3 and reflected over the x-axis. Option C.

Effect of transformation of function

The original function y = 1/x has a horizontal compression by a factor of 3, which is represented by the coefficient 1/3 in front of (x). This means the graph is narrower than the parent function.

The negative sign in front of the entire function -1/3x indicates a reflection over the x-axis.

This flips the graph upside down.

Horizontally stretched by a factor of 3 and reflected over the y-axis - This is incorrect because the given function involves a compression, not a stretch.