Given the function f(x)=g(x-3)+2, describe transformation of f(x) on a coordinate plane relative to g(x).
1 answer:
<h2>Answer:</h2>
The transformation of f(x) on a coordinate plane relative to g(x) is that the graph of g(x) has been shifted three units to the right and two units upward.
<h2>Step-by-step explanation:</h2>By knowing this, we can see that the function takes the following form:
Therefore, we can say that represents shifting the graph three units to the right and ultimately
tells us that the graph is shifted two units upward. Finally:
- The transformation of f(x) on a coordinate plane relative to g(x) is that the graph of g(x) has been shifted three units to the right and two units upward.
You might be interested in
Given:
The table of values for the function f(x).
To find:
The values and
.
Solution:
From the given table, it is clear that the function f(x) is defined as:
We know that if (a,b) is in the function f(x), then (b,a) must be in the function . So, the inverse function is defined as:
And,
...(i)
Using (i), we get
Now,
Therefore, the required values are and
.