The graph shows the normal lines from the point (2, 0) to the graph of the parabola x = y². How many normal lines are there from the point (x₀, 0) to the graph of the parabola if

(a) x₀ = 1/4,

(b) x₀ = 1/2, and

(c) x₀ = 1?

(d) For what value of x₀ are two of the normal lines perpendicular to each other?

y (2,0) 2 x=y X