How do I convert the equation #f(x)=x^2-4x+3# to vertex form?
The vertex form of a quadratic is given by
Your equation is
We convert to the "vertex form" by completing the square.
Step 1. Move the constant to the other side.
Step 2. Square the coefficient of
Step 3. Add this value to each side
Step 4. Combine terms.
Step 5. Express the right hand side as a square.
Step 5. Isolate
The equation is now in vertex form.