Question

Functions and relations. What is the effect on the graph of f(x) = 1/x when it is transformed to g(x)= 1/x - 10

Answer 1

Given

The function f(x)=1/x is transformed into g(x)=(1/x)-10.

To find: The effect of graph g(x).

Explanation:

It is given that,

The function f(x)=1/x is transformed into g(x)=(1/x)-10.

Since, When the graph is moved down by k units, then replace y with y - k.

Then,

For f(x)=1/x,

$\begin{gathered} g(x)=\frac{1}{x}-10 \\ g(x)=f(x)-10 \end{gathered}$

Hence, the graph f(x) is shifted 10 units down.