SOLUTION: Good Afternoon... Can you help me with this Questions? Consider the following equation of the parabola. Ay^2 + By = -Cx-F a) write the equation into standard form. b

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Good Afternoon... Can you help me with this Questions? Consider the following equation of the parabola. Ay^2 + By = -Cx-F a) write the equation into standard form. b      Log On


   

Question 857364: Good Afternoon...
Can you help me with this Questions?
Consider the following equation of the parabola.
Ay^2 + By = -Cx-F
a) write the equation into standard form.
b) Find the vertex.
c) Is the parabola horizontal or vertical? Justify.
d) Find the focus .
e) What is the equation of the directrix?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a) Ay^2+By+Cx+F = 0
C!=0 and x = -((Ay^2+By)+F)/C
b) vertex | ((B^2-4 A F)/(4 A C), -B/(2 A))
c) horizontal since y is squared
d) focus | ((-4 A F+B^2-C^2)/(4 A C), -B/(2 A))
e) directrix | x = B^2/(4 A C)+C/(4 A)-F/C
See http://www.purplemath.com/modules/parabola.htm for a good discussion