Answer:
Explanation:
The parent function is [tex]y=1/x[/tex] (given)
The daughter function is [tex]y=(-1/3x)[/tex] (given)
Realize that a function f(x) is being transformed into a function
[tex]g(x)=f[(-1/3)x][/tex]
That means that the argument (x) of the parent function is being mulitplied by -1/3.
When you modify the argument of the function, your are working othe x-axis, this is you are modifying the horizontal direction of the graph.
The rule for horizontal compressions and stretches is:
If |k| > 1 the graph is horizontally compressed by a factor of 1/k
If |k| < 1 the graph is horizontally stretched by a factor of 1/k
If k < 0 the graph is also reflected over the y-axis.
.
For our function k = 1/3, then it is horizontally stretched by a factor of 3 and reflected over the y-axis.
Answer:
It is horizontally stretched by a factor of 3 and reflected over the y-axis.
Step-by-step explanation:
