Question

move at least one of the 9 guide points below to complete the graph of y = |x + 2|. moving the red points changes the vertical stretch or compression. moving the blue point shifts the function left/right/up/down. click the buttons below to start over or reflect over the x - axis. reset reflect over x - axis

Explanation:

Step1: Recall the vertex - form of absolute - value function

The general form of an absolute - value function is $y=a|x - h|+k$, where $(h,k)$ is the vertex of the graph. For the function $y = |x + 2|$, we can rewrite it as $y=1|x-(- 2)|+0$. So the vertex of the function $y = |x + 2|$ is $(-2,0)$.

Step2: Determine the movement of the blue point

The blue point should be moved 2 units to the left from the origin (since the $x$ - coordinate of the vertex is $-2$).

Answer:

Move the blue point 2 units to the left.