# How do you find the axis of symmetry, graph and find the maximum or minimum value of the function #y=-x^2+3x-3#?

##### 1 Answer

Axis of symmetry

#### Explanation:

As this is in the form of

the axis of symmetry is at

So axis of symmetry is at

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

As the

We already know that

So the point

As P is a maximum and below the x-axis then we also know that that it does not cross the x-axis. So there is no solution to

To emphasise the point:

In the solution equation:

The part:

giving:

As we are dealing with the sqrt of a negative number this is a sure sign that the graph does not cross the x-axis.