Answer:
y =x²÷8 + 2
Step-by-step explanation:
general equation for a parabola is: ×: ( ×-h)² = +4*p*(y-k)
where the vertex v ( h, k ) is the point ( 0, 2) and the directrix is a line over the x-axis. Vertex is half way between x-axis and focus, the distance between vertex and x-axis is p. Sign + in the right hand side of the equation means the parabola open upwards
So (×-0)² = +4*2 (y-2) ⇒ x²= 8*(y-2) ⇒ x² = 8*y -16
x² = 8y - 16 ⇒ 8y = ײ + 16 ⇒ y =x²÷8 + 2
