On a coordinate plane, a parabola opens upward. It has a vertex at (0, 0), a focus at (0, 1.5) and a directrix at y = negative 1.5. Which equation represents the parabola shown on the graph? y2 = 1.5x x2 = 1.5y y2 = 6x x2 = 6y

d) The equation of the standard parabola

x² = 6 y

Step-by-step explanation:

The given directrix is y = - 31.5

The equation of the parabola is of the form x² = 4 a y

Given focus (0,1.5), Here a = 1.5

The equation of the standard parabola

x² = 4 a y

x² = 4 (1.5) y

x² = 6 y

Conclusion:-

The equation of the standard parabola

x² = 6 y