Given:
The quadratic equation is
To find:
The x-coordinate and y-coordinate of the vertex.
Solution:
If a quadratic function is defined by , then the vertex is defined as:
If , then the function has a maximum at the vertex and ff , then the function has a minimum at the vertex.
We have,
Here, .
Since , therefore the function has a minimum at the vertex. So, fill min in first blank.
Now,
Putting x=3 in the given function, we get
Therefore, the vertex is at point (3,-12).