What is the axis of symmetry and vertex for the graph #y=-2x^2+4x-6#?
the axis of symmetry is x=1; the vertex is (1,-4)
In the general equation
the axis of symmetry is given by
so, in this case, where a=-2 and b=4, it is:
This also is the x-coordinate of the vertex. To obtain the y-coordinate you can substitute the numeric value (x=1) in the given equation, so