Problema Solution
Suppose a parabola has a vertical axis and vertex (h,k). Show that the point (h + t, q) is on the parabola if and only if the point (h - t, q) is also on the parabola. What does this fact tell you about the geometry of a parabola?
Answer provided by our tutors
equation of para bola : y=a(x-h)^2 + k
let (h+t,q) lies on this so
q=a(h+t-h)^2 +k
q=at^2 +k
q=a(-t)^2 +k
q=a(h-t-h)^2 +k
so (h-t,q)lies on it
geomtric meaning: parabola is symmetric about x=h