Question

Given the functions f(x)=1/x−3+1 and g(x)=1/x+4+3 .

Which statement describes the transformation of the graph of function f onto the graph of function g?




The graph shifts 2 units left and 7 units up.

The graph shifts 2 units right and 7 units down.

The graph shifts 7 units left and 2 units up.

The graph shifts 7 units right and 2 units down.

Answer 1

Answer:

Step-by-step explanation:

the graph shifts 2 units right and 7 units down

Answer 2

Using translation concepts, it is found that the statement that describes the transformation of the graph of function f onto the graph of function g is given by:

The graph shifts 7 units left and 2 units up.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the functions are:

$f(x) = \frac{1}{x - 3} + 1$

$g(x) = \frac{1}{x + 4} + 3$.

We have that, in f(x) to g(x):

$x \rightarrow x + 7$, that is, the function was shifted 7 units left.

2 was also added to the function, that is, it was shifted 2 units up.

Hence, the correct option is:

The graph shifts 7 units left and 2 units up.

More can be learned about translation concepts at https://brainly.com/question/4521517