Which function is represented by the graph?

f(x) = −2|x| + 1
f(x) = |x| + 1
f(x) = -2|x + 1|
f(x) = |x + 1|

A) f(x) = -2 (absolute value of x) +1

Step-by-step explanation:

First of all, the function must be mirrored of the parent function due to the fact that it is facing downward. This mean that the function must have a negative sign on the outside of the absolute value sign.

Then, the graph is moved up one, so the function must be added to 1.

This narrows it down to A and B. Next, you plug in a number for x and solve for y.

I plugged in -1. In equation A, the quadrants are (-1,-1), and in equation B the quadrants are (-1,-1.5). The graph matches equation A.

Therefore, the answer to the question is A.