How do you write #4y= x^2 - 2x - 31# into vertex form?
The vertex form of a quadratic is given by
Your equation is
Step 1. Divide both sides by the coefficient of
We convert to the "vertex form" by completing the square.
Step 2. Move the constant to the other side.
Step 3. Factor out the coefficient
Step 4. Square the new coefficient of
Step 5. Add and subtract this value inside the parentheses..
Step 6. Express the right hand side as a square.
Step 7. Distribute.
Step 8. Multiply.
Step 9. Isolate
Step 10. Combine like terms.
The equation is now in vertex form.