# How do you find the axis of symmetry, graph and find the maximum or minimum value of the function #y =3(x-3)^2 - 4#?

##### 1 Answer

Minimum value is

Axis of symmetry is

Use the vertex and the

#### Explanation:

So the function you gave us is in *vertex form*. This makes finding max/min value, axis of symmetry, and graphing exponentially easier (well at least to me).

The maximum/minimum value is simply the

The axis of symmetry, is just the

Lastly, graphing the parabola is made easier in vertex form, because you're given the vertex (it's right there), and you know the

=> you know how much the parabola is going to stretch.

An easy way to graph a parabola is to use the "input-output" method. Input is the x-axis, while output is the y-axis. You are always looking for the y-axis (with this method), and the input is always 1 number higher or lower than the vertex. You continue to increase the x-value by 1.

As a result, the parabola will look like this:

Hope this helps :)

P.S. This graphing program is called Desmos. It's a very good program that I recommend to others that struggle visualizing what the parabola looks like.