1. The problem is to write the equation of the given V-shaped graph in the form $a|x - h| + k$, where $a$, $h$, and $k$ are integers or simplified fractions. 2. The graph is a standard absolute value function with vertex at the origin $(0,0)$ and opens upwards. 3. The general form of an absolute value function is: $$y = a|x - h| + k$$ where $(h,k)$ is the vertex and $a$ controls the slope of the arms. 4. Since the vertex is at $(0,0)$, we have $h=0$ and $k=0$. 5. The graph appears to have a slope of 1 on both sides, so $a=1$. 6. Therefore, the equation is: $$y = 1|x - 0| + 0 = |x|$$ 7. This matches the standard absolute value function. Final answer: $$y = |x|$$