Answer
i) Vertex: $(-6,-4)$
ii) Axis of symmetry: $x= -6$
iii)$x= 0$, $y$-intercept: $y=-1 / 2(6)^2-4=-22$
iv) Concave down.
Work Step by Step
Given $y=-1 / 2(x+6)^2-4$
i) Vertex: $(-6,-4)$
ii) Axis of symmetry: $x= -6$
iii) $x= 0$, $y$-intercept: $y=-1 / 2(6)^2-4=-22$
iv) Since the coefficient $a$ is negative the curve is concave down.
