Question 884091
For the given function, (a) determine whether the graph opens upward or downward, (b) find the axis of symmetry, (c) find the vertex, (d) find the y-intercept, and (e) graph the function. 
Equation : f(x) = -(2 + x²)
y=-x^2-2
This is a basic x^2 curve reflected about the x-axis and dropped 2 units down.
opens downward: (negative coefficient of x^2)
axis of symmetry: x=0 or y-axis
vertex: (0,-2)
y-intercept: (0,-2)
see graph below:
{{{ graph( 300, 300, -10, 10, -10, 10, -x^2-2) }}}