SOLUTION: Find the latus rectum of given equation y^2+8x-6y+25=0
Algebra.Com
Question 1115791: Find the latus rectum of given equation y^2+8x-6y+25=0
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
vertex (-2,3)
Distance between vertex and focus p;
Focus is two unit to the left of (-2,3)
Focus is at (-4,3).
LATUS RECTUM?
x coordinate of focus is -4.
-------distance across the parabola at x=-4, is 8.
Latus Recturm is .
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the latus rectum of given equation y^2+8x-6y+25=0
--------
y^2-6y+9 = -8x-16
-8(x+2) = (y-3)^2
----
4p = -8
p = -2
-----
You have a parabola opening to the left with vertex at (-2,3)
The focus is 2 to the left of (-2,3) and corresponds to the
line y = -4.
The latus rectum is a vertical line segment passing thru the focus.
Length of the latus rectum = |4p| = 8
----
Cheers,
Stan H.
----------
RELATED QUESTIONS
Compute the focal length and the length of the latus rectum of the parabola y^2 + 8x - 6y (answered by lwsshak3)
Find the latus rectum, vertex and directrix of the parabola... (answered by MathLover1,josgarithmetic,MathTherapy)
Find the focus, vertex, length of latus rectum,and the equation of directrix of the... (answered by josgarithmetic,greenestamps)
Find the vertex, focus, length of latus rectum,and the equation of directrix of y^2 - 4y... (answered by josgarithmetic,greenestamps)
Find the eccentricity and the length of the latus rectum of each given hyperbola.
a.... (answered by Solver92311)
Given the parabola having the equation x^2+4y+8x=4, find the vertex, focus, and the... (answered by josgarithmetic)
Given the parabola having the equation x^2+4y+8x=-4, find the vertex, focus, and the... (answered by josgarithmetic)
Find the vertex, focus, length of latus rectum,and the equation of directrix of x^2 - 2x... (answered by josgarithmetic)
Reduce the equation 4x^2+y^2+8x-4y-8=0 into standard form then find the coordinates of... (answered by greenestamps)