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Properties of Parabolas . (Vertical (vertex ( h, k), Focus will be (h…
Properties of Parabolas .
A parabola is a plane curve, which is mirror-symmetrical, and is approximately U-shaped when oriented
Vertical
vertex ( h, k)
Focus will be (h.k+1/4a)
y = a( x – h) 2 + k
Directrix (k-1/4a)
Axis of symmetry X=h
If the a was -ve the both sides if the sketch will be down ward.
Horizontal
vertex ( h, k)
Focus (h+1/4a,k)
Axis of symmetry Y=k
Directrix (h-1/4a)
x = a( y – k) 2 + h.
If the a was -ve both side of the sketch will be to the right.
DONE BY;Abeer Aba Alkhail 12C
The different point between the vertex and focus must be the same with the directrix.
The Obj: is to learn what is parabola and the different two type vertical and horizontal in a graph and equation.
