When is the vertex of a parabola the minimum point? when is it the maximum point

When is the vertex of a parabola the minimum point?

when the parabola has a vertical axis and opens up.

When is it the maximum point?

when the parabola has a vertical axis and opens down.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)