SOLUTION: The question is : Identify the vertex, focus, axis of symmetry, and directrix for the parabola whose equation is y^2– 8y + 16x– 64 = 0.
I tried completing the square, but I only
Algebra.Com
Question 285165: The question is : Identify the vertex, focus, axis of symmetry, and directrix for the parabola whose equation is y^2– 8y + 16x– 64 = 0.
I tried completing the square, but I only got more confused. My textbook does not say what the directrix is or how to identify it or the focus, axis of symmetry, or the vertex as well. It mentions them, but does not show the process of finding them. Could you explain it?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The question is : Identify the vertex, focus, axis of symmetry, and directrix for the parabola whose equation is y^2– 8y + 16x– 64 = 0.
I tried completing the square, but I only got more confused. My textbook does not say what the directrix is or how to identify it or the focus, axis of symmetry, or the vertex as well. It mentions them, but does not show the process of finding them. Could you explain it?
--------------------------------------
Completing the Square:
y^2-8y + ? = -16x + 64 + ?
----
y^2 - 8y + 16 = -16x + 64 + 16
----
(y-4)^2 = -16x + 80
----
-16x = (y-4)^2 - 80
x = (-1/16)(y-4)^2 + 5
---------------------------------
This is a parabola opening to the left.
---
Vertex: (5,4)
---
Axis: y = 4
-------
Directrix?
4p = -1/16
p = -1/64
Directrix is x = 5+(1/64)
===============================
Cheers,
Stan H.
RELATED QUESTIONS
What is the focus, vertex, axis of symmetry and directrix of the parabola equation... (answered by lwsshak3)
What is the vertex, focus, axis of symmetry, and directrix for the parabola whose... (answered by lwsshak3)
What is the vertex, axis of symmetry, focus, and directrix of the parabola... (answered by MathLover1)
what is the axis of symmetry, focus, and equation for directrix for the parabola x=1/16... (answered by ewatrrr)
Identify the coordinates fo the vertex and focus, the equations of the axis of symmetry... (answered by lwsshak3)
how to get the general equation of the parabola, standard equation of the parabola,... (answered by josgarithmetic)
Give the focus, directrix, and axis of symmetry for the parabola... (answered by lwsshak3)
Identify vertex, focus, directrix, axis of symmetry and latus rectum from the following... (answered by Edwin McCravy)
(y + 5/2)2 = -5(x - 2/9)
please help me know What is the vertex, focus, directrix and (answered by josgarithmetic,solver91311)