Answer:
The vertex is at (3, -4).
The axis of symmetry is at x=3.
Explanation:
Given the following equation:
We need to convert it to the vertex form of a quadratic function, which is represented by:
Let's use completing the square method to convert f(x) into vertex form:
As a first step, subtract the constant (c) from both sides of the equation:
Then, add the square of b/2 on both sides of the equation:
Now, we get the function in vertex form:
Hence, the vertex is at (3, -4).
Therefore, if the axis of symmetry is at x=h, substitute:
The Axis of symmetry is at x=3.