What is the the vertex of #y = 3x^2 -x -3#?
The vertex is at
The equation is a quadratic equation in standard form, or
The vertex is the minimum or maximum point of a parabola . To find the
We know that
To find the
Therefore, the vertex is at
Here is a graph of this quadratic equation:
As you can see, the vertex is at
For another explanation/example of finding the vertex and intercepts of a standard equation, feel free to watch this video:
Hope this helps!