Quadratic: y = -x² - 4x - 1
Step 3: What is the axis of symmetry?
y = 3
y = -2
x = -2
x = 3
we have the quadratic function
this is represent a vertical parabola open downward
the vertex represent a maximum
the axis of symmetry is thex-coordinate of the vertex
so
Convert the function in vertex form
y=a(x-h)^2+k
where (h,k) is the vertex
y=h -------> axis of symmetry
therefore
Complete the square
factor -1
y=-(x^2+4x)-1
y=-(x^2+4x+4)-1+4
y=-(x+2)^2+3
the vertex is the point (-2,3)
axis of symmetry is
y=-2