A line passing through the point (1,0) cuts the curve Y^2=4x at two points A and B. Find the equation of the locus of the mid-point of AB.
The Attempt at a Solution
the graph is parabola, the solution should also be a parabola with x-intercept at (1,0).
tried to set up 2 equations are mixed together but didn't work out
wondering if parametric equation should be used
i think i should try to find a general expression for x and y, then use mid point respectively, then mix the parametric equation