Question

Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin.

Focus: (0, 1/2)

Answer 1

Step 1:

The vertex of parabola is .

The focus of parabola is .

Since x - coordinate of focus is zero, then axis of parabola is vertical.

The standard form of vertical parabola with center at origin .

Where focus .

in this case

 Substitute in .

The parabola equation is .

Solution:

The parabola equation is .