SOLUTION: (y+1)^2=8(x-4) How do I identify the lines of symmetry?

Algebra.Com
Question 823841: (y+1)^2=8(x-4)
How do I identify the lines of symmetry?

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
In the general equation (y-k)^2 = a(x-h), the line of symmetry is a horizontal line and it is the equation y = k

In this case, the value of k is k = -1, so the answer is y = -1 (this is the horizontal line at y = -1)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
(y+1)^2=8(x-4)
How do I identify the lines of symmetry?
-------
Because the equation is basically x = y^2 the graph
would be a parabola opening to the right from
vertex (4,-1)
------
The line of symmetry is a horizontal line passing
thru (4,-1):: y = -1 is the line of symmetry.
----------
Cheers,
Stan H.

RELATED QUESTIONS

How do I identify the focus, directrix and axis of symmetry when y=... (answered by MathLover1,It is costly)
how do I identify the axis of symmetry, create a suitable table of values, and sketch... (answered by stanbon)
How do I graph the equation x^2=-4y and identify the focus, directrix, and axis of... (answered by ewatrrr)
how do you find the vertex, axis of symmetry, and direction of the opening of the... (answered by ewatrrr)
X-(y-1)^2=2. Identify the line(s) of symmetry for the conic... (answered by lwsshak3)
Identify the vertex, axis of symmetry, and direction of opening for: y=1/2(x-8)^2+2. (answered by psbhowmick)
Identify the vertex, axis of symmetry, and direction of opening for: y=1/2(x-8)^2+2. (answered by venugopalramana)
Graph each function identify the axis of symmetry y=(x-1)2nd... (answered by stanbon)
how to graph and identify the focus, directrix, and axis of symmetry of x=-y^2 (answered by lwsshak3)