How do you find the axis of symmetry, and the maximum or minimum value of the function #f(x) = 8 - (x + 2) ^2#?
Explanation is given below
If you can understand the graph of a parabola opening up or down. You can easily get the solution to the question you have asked.
Let us see how.
The vertex form of the quadratic function is
The axis of symmetry for the graph opening up or down is decided by the
Now let us apply the same with respect to our problem.
Let us rewrite in the form
Comparing we can see
Therefore the graph has a maxmimum.
The maximum value is
The axis of symmetry is