Which of these transformations appear to be a rigid motion? Please help me!!!!!
2 answers:
You might be interested in
The graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.
<h3>What is transformation of a function?</h3>Transformation of a function is shifting the function from its original place in the graph.
Types of transformation-
- Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.
- Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.
The given function is,
This function is changed to the function,
Here the 3 units is substrate in the function. Thus, it is shiftet 3 units right. The number 2 is multiplied in the function which vertically stretched the graph by a factor of 2.
Thus, the graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.
Learn more about the transformation of a function here;
#SPJ1
<h2>Answer:</h2>
To solve this problem, we need to start with the parent function of the exponential function, which is , where
is the base. In our problem,
, so our parent function here is
. Then, we need to perform some transformations to our parent function. Thus:
1. Vertical shrink:
A vertical shrink is a nonrigid transformation because the graph of the function get a distortion in the shape, so this transformation is as follows:
where in this problem equals 0.25 because:
2. Vertical shift:
The graph of the function get a vertical shift given by:
So the graph is shifted 3 units up. So the result is the graph shown above.