Question

How does stellar parallax support the heliocentric model?

Answer 1

The fact that we observe stellar parallax means that the a Earth is moving.

Explanation:

When we observe the position of a star its position changes over the course of a year. It will return to the same position a year after the first measurement. This effectively proves that the Earth is in orbit.

If the Earth was at the center of the Universe there would be no parallax.