1. The problem asks to identify the equation that best matches a given parabola graph. 2. The general form of a parabola with vertex $(h,k)$ is $$y = a(x - h)^2 + k$$ where $a$ determines the width and direction (up if $a>0$, down if $a<0$). 3. From the graph description, the vertex is at approximately $(-3, -6)$ and the parabola opens upwards, so $a$ is positive. 4. Substitute $h = -3$ and $k = -6$ into the vertex form: $$y = a(x - (-3))^2 - 6 = a(x + 3)^2 - 6$$ 5. The coefficient $a$ is given as $0.3$ in the options, which is positive, matching the upward opening. 6. Therefore, the correct equation is: $$y = 0.3(x + 3)^2 - 6$$ This matches the vertex and the shape of the parabola described. Final answer: $y = 0.3(x + 3)^2 - 6$