The shape of the graph of the function (y = |x|) and (y = |x + 2|) are the same that is, V shape but has different vertex and this can be determined by using the rules of transformation.
Given :
Expression -- y = |x| and y = |x + 2|
The following steps can be used in order to determine how the graph of the given expression are related:
Step 1 - Draw the graph of (y = x) and then take the mirror image about the y-axis. So, the equation of the resultant graph is (y = |x|)
Step 2 - So, the vertex of the graph obtained in the above step is (0,0).
Step 3 - Now, shift the graph obtained in step 1 towards the left by a factor of 2. So, the resultant graph is the graph of (y = |x + 2|).
Step 4 - So, the vertex of the graph obtained in the above step is (-2,0).
For more information, refer to the link given below:
https://brainly.com/question/14375099
