Question

The equation of the parabola with (-3, 0) as focus and x + 5 = 0 as directirx, is

• A.
  
• B.
• C.
  
• D.

Answer 1

The correct option is C


Directrix $=x+5=0$
Focus is $(-3,0)\Rightarrow 2a=(-5+3)=2\Rightarrow a=1$
Vertex is $(\frac{-3+(-5)}{2},0)=(-4,0)$
Therefore, equation is $(y-0{)}^2=4(x+4)$.