Hi there!
[tex]\large\boxed{B. \text{ } x = 2(y + 3)^{2} -2}[/tex]
The transformation formula of a horizontal-facing parabola is:
x = ±a(b(y - k)) + h, where the vertex is at (h, k).
Looking at the graph, we can see a vertex at (-2, -3) with a stretch of 2. The graph is also pointed towards the RIGHT, which means that the coefficient "a" must be positive. Therefore:
The only logical answer choice is B, or x = 2(y + 3)² - 2.
The formula indicates that:
* Vertex at (-2, -3)
* Stretch of 2
* Right-facing parabola
