Answer:
The answer is y =|x-8|+2 (option A)
Explanation:
Note that is trying to plot an absolute value function, precisely the sum an absolute value and a constant. Hence the resulting curve will be the graph of the absolute value translated.
For the other hand, observe that the absolute value is taking from +8, that’s means the argument of the absolute function will be x-8. Therefore, the absolute value function is we are looking for is:
|x-8|
(note that if is it replaced x for 8, the result is 0). Now, in the graph, the curve is translated 2 units upwards, so it is necessary to sum 2 units to our function. Thus the function equation we are looking for is:
y=|x-8|+2