Hello, TechnicianEngineer!

Find the equation of a parabola w/ axis parallel to the x-axis

and passing through (3/2 , 1),(5,0) and (-1,2).

. .

Since the axis is parallel to thex-axis, we have a "horizontal" parabola.

. . The general form is: .

Substitute the three points:

. .

Solve the system of equations: .

We have: .

Therefore: .