Question

Which of the following functions is graphed below

Answer 1

the answer is A)

Explanation:

Answer 2

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