Step-by-step explanation: In algebra, we use the word <em>slope</em> to describe how steep a line is and slope can be found using the ratio <em>rise/run </em>between any two points that are on that line.
The ratio <em>rise/run</em> is the equal to the rate of change
or the <em>change in y/change in x</em>.
In algebra, the rate of change or the <em>change in y/change in x</em> or
the <em>rise/run</em> is also called the slope of a line.
Transformation involves changing the form of a function.
The absolute value function is
The parent function of the absolute value function is:

When the function is translated 2 units to the right, the new function is:

From the function to be wider than the absolute function, the function must be stretched by a factor less than 1.
The possible function from the list of given options is 
Read more about function transformation at:
brainly.com/question/1548871
Answer:
y= 1/2x + 1
Step-by-step explanation:
Refer to y=mx+b, m=slope and b= y-intercept
First, you find the slope: you can find the slope by finding the rise over run between two points. Rise= 1, Run=2. The slope is rise/run (rise over run), so the slope would be 1/2 (one half).
Next, find the y-intercept. It is where the line touches the y-axis. Here, it would be 1.
Finally, put these in y=mx+b form:
y=(slope)x+(y-intercept) ---> y= 1/2x + 1
I tried my best to explain everything, I hope you found this helpful!
Your answer would be A :)