Question

Re-write the quadratic function below in Standard Form
y = -(x – 3)2 +8

Answer 1

y = -x² + 6x - 1

General Formulas and Concepts:

Algebra I

• Standard Form: ax² + bx + c = 0
• Expanding by FOIL (First Inside Outside Last)
• Combining like terms

Explanation:

Step 1: Define equation

y = -(x - 3)² + 8

Step 2: Rewrite

1. Expand [FOIL]: y = -(x² - 6x + 9) + 8
2. Distribute -1: y = -x² + 6x - 9 + 8
3. Combine like terms: y = -x² + 6x - 1