SOLUTION: Sketch the graph and identify focus, directrix, vertex, latus rectum and axis of symmetry: y^2 = -25x Thank you very much!

Algebra.Com
Question 1087427: Sketch the graph and identify focus, directrix, vertex, latus rectum and axis of symmetry: y^2 = -25x
Thank you very much!

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
 This is exactly like the other one I did for you, except
it opens left instead of right.  Hey, you've got to learn this 
stuff, because you have to pass the tests all by yourself.  



has vertex (h,k), and distance from vertex to both focus
and directrix is |p|.  If p is negative the parabola opens
leftt with the vertical directrix is |p| units right of the 
vertex and the focus is |p| units left of the vertex.  



has vertex (0,0), and distance from vertex to both focus
and directrix is |-25/4| or 25/4.  Since -25/4 is negative the 
parabola opens left with the vertical directrix 25/4 units  
right of the vertex and the focus is 25/4 left of the vertex.  

So the focus is 25/4 units left of vertex (0,0) which is (-25/4,0),
and the directrix is a vertical line 25/4 units right of the 
vertex (0,0) which is the vertical line x = 25/4



Edwin

RELATED QUESTIONS

Sketch the graph and identify focus, directrix, vertex, latus rectum and axis of... (answered by josgarithmetic)
Sketch the graph and identify focus, directrix, vertex, latus rectum and axis of... (answered by Edwin McCravy)
Identify the vertex,the focus ,directrix ,axis of symmetry, and the latus rectum... (answered by lwsshak3)
Identify vertex, focus, directrix, axis of symmetry and latus rectum from the following... (answered by Edwin McCravy)
Identify the vertex, focus, directrix, direction, axis of symmetry, Latus Rectum of... x (answered by stanbon)
give the standard equation of (3x-2)^2=84y-12. Provide it's vertex, focus, directrix,... (answered by MathLover1)
PARABOLA: what's the vertex, focus, directrix, latus rectum and graph of the... (answered by solver91311)
Determine the vertex,focus,endpoints of Latus rectum, directrix and axis of symmetry of... (answered by greenestamps)
How do I find the vertex, focus, directrix, axis of symmetry, and latus rectum of this... (answered by Edwin McCravy)