A parabola of the form, x = (a)y² + (b)y + c has a vertex, (h, k)
where
k = -b/2a
and
h = (a)k² + (b)k + c
In your case:
k = -0/{2(3)}
k = 0
h = 3(0)²
h = 0
The vertex is: (0, 0)
Let f = the focal width
f = 1/4a
f = 1/12
The focus is at
(h + f, k)
(1/12, 0)
The equation of the directrix is:
x = h - f
x = -1/12
Answer:
y = - x + 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m = - , hence
y = - x + c ← is the partial equation
to find c substitute (6, - 3 ) into the partial equation
- 3 = - 9 + c ⇒ c = - 3 + 9 = 6
y = - x + 6 ← equation in slope- intercept form