SOLUTION: trying to find the vertex, focus, latus rectum, directrix, axis of symmetry for the following equation -2(x+3)=(y-1)^2

Question 1133782: trying to find the vertex, focus, latus rectum, directrix, axis of symmetry for the following equation
-2(x+3)=(y-1)^2
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
focus, latus rectum, directrix, axis of symmetry

is the standard equation for a right-left facing parabola with vertex at (,) and a focal length
Rewrite in the standard form
as you can see =>

Therefore parabola properties are:
(,) =(,)

Parabola is symmetric around the x-axis and so the focus lies a distance from the center (, ) along the x-axis
(, )....plug in
focus: (, )
directrix is

latus rectum:
............switch sides
......solve for

=> solutions:

Axis of symmetry is a line parallel to the x -axis which intersects the vertex:

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