Question

Convert to vertex form
y = x^2+ 8x + 2

Answer 1

y = (x + 4)² - 14

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

• Standard Form: ax² + bx + c = 0
• Vertex Form: f(x) = a(bx - c)² + d
• Completing the Square

Explanation:

Step 1: Define

Standard Form: y = x² + 8x + 2

Step 2: Find Vertex Form

1. Complete the Square: y = (x² + 8x + 16) + 2 - 16
2. Rewrite: y = (x + 4)² - 14

And we have our answer!