Given: The sketch shows the graph of a function f, which is a straight line defined by y=mx+k such that the point V lies on the line and the graph of a function g, which is a parabola with vertex R. The straight line and parabola intersect at P and . The points S and T lie on the parabola and straight line, respectively, between P and Q. The line ST is parallel to the y-axis.
V(-3,4) R(3,2) Point where parabola intersects the x-axis (1;0)
I have worked my way through the questions and have found: Q(5,0) P(2,3/2) Straight line: y=-1/2x+5/2 Parabola: g(x)=-1/2x^2+3x-5/2
How would i go about finding the co ordinates of ST? Do i assume that T is the midpoint of P and Q?