Question

How do you find the axis of symmetry, graph and find the maximum or minimum value of the function `y=-2x^2-1`?

Answer 1

Axis of symmetry is the y-axis

Maximum `->(x,y) = (0,-1) )`

Explanation:

Consider the standard form of `y=ax^2+bx+c`

We are given `y=-2x^2-1`

Observe that there is no `bx` term implying that the axis if symmetry is at `x=0`. Thus the axis of symmetry is the y-axis.

Observe that the coefficient of `x^2` is negative . This means that the general shape of the graph is `nn` so we have a maximum.

The constant of -1 is the y-intercept so the maximum is `(x,y)->(0,-1)`