Answer:
B. x = -2(y + 2)² - 4
Step-by-step explanation:
The vertex form of a sideways parabola with its vertex at (h, k) is:
x = a(y – k)²+ h
We can immediately eliminate C, because that is the equation for a vertical parabola.
The vertex is at (-4, -2), so h = -4 and k = -2
h always goes with x and k with y, so the equation is
x = a(y + 2)² - 4
The only equation that fits is Option B.
In Option B, a = -2. This confirms our assignment, because a parabola opens to the left when a < 0.
