Answer:
y2 = 4ax (opens right, a > 0)
y2 = -4ax (opens right, a > 0)
x2 = 4ay (opens up, a > 0)
x2 = -4ay (opens down, a > 0)
Vertex at (h, k) :
(y - k)2 = 4a(x - h) (opens right, a > 0)
(y - k)2 = -4a(x - h) (opens right, a > 0)
(x - h)2 = 4a(y - k) (opens up, a > 0)
(x - h)2 = -4a(y - k) (opens down, a > 0)
Equation of a Parabola in Vertex form
Vertex at Origin :
y = ax2 (opens up, a > 0)
y = -ax2 (opens down, a > 0)
x = ay2 (opens right, a > 0)
x = -ay2 (opens left, a > 0)
Vertex at (h, k) :
y = a(x - h)2 + k (opens up, a > 0)
y = -a(x - h)2 + k (opens down, a > 0)
x = a(y - k)2 + h (opens right, a > 0)
y = -a(y - k)2 + h (opens left, a > 0)
Step-by-step explanation:
