Mathematics

Problem

For the parabola

y^{2}=20x

, the point

S(5,-10)

is given. a. (i) Verify that the point

S

lies on the parabola. b. (ii) Find the coordinates of the point

S'

that is the reflection of

S

in the axis. c. (iii) Calculate the length of the chord

SS'

of the parabola.