Mathematics

Problem

Consider the standard parabola

y^{2} = 12x

. a. (i) Verify whether the points

P(3,6)

and

Q(3,-6)

lie on the parabola. b. (ii) Determine the value of

h

for which the point

(h, 4\sqrt{3})

lies on the parabola. c. (iii) If a point

R

lies on the parabola and has

x

–coordinate

27

, find the corresponding

y

–coordinate(s).