contestada

How is the graph of y=-1/3x related to its parent function y=1/x

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

Respuesta :

luisejr77

Answer: OPTION C.

Step-by-step explanation:

Some tranformations for a function f(x):

If [tex]bf(x)[/tex], and [tex]0<b<1[/tex], then the function is vertically compressed by a factor of "b".

If [tex]bf(x)[/tex], and [tex]b>1[/tex], then the function is vertically stretched by a factor  of "b".

If [tex]f(bx)[/tex], and [tex]b>1[/tex], then the function is horizontally compressed by a factor of "b".

If [tex]f(bx)[/tex], and [tex]0<b<1[/tex], then the function is horizontally stretched by a factor  of "b"

If [tex]-f(x)[/tex], then the function is reflected over the x-axis.

If [tex]f(-x)[/tex], then the function is reflected over the y-axis.

Given the function [tex]y=-\frac{1}{3x}[/tex] and the parent function [tex]y=-\frac{1}{x}[/tex], you can observe that:

The function [tex]y=-\frac{1}{3x}[/tex] is the function [tex]y=\frac{1}{x}[/tex] but horizontally compressed by a factor of 3 and reflected over the x-axis.

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