SOLUTION: Find the equation in standard form of the parabola with focus (-1, 9) and directrix x = 5.

 

Hi,

Find the equation in standard form of the parabola with focus (-1, 9) and directrix x = 5.  

x-value of Vertex =  p = -3

  and V(2,9)

  

or 

the vertex form of a Parabola opening right(a>0) or left(a<0), 

 where(h,k) is the vertex and  y = k  is the Line of Symmetry

The standard form is , where  the focus is (h +p,k ),

Directrix is x = (h-p)and the length of  the  latus rectum is 4p.