Question

Which equation is the vertex form of y = 2x^2 + 16x + 26

Answer 1

y = 2(x + 4)² - 6

General Formulas and Concepts:

• Order of Operations: BPEMDAS
• Completing the Square

Explanation:

Step 1: Define function

y = 2x² + 16x + 26

Step 2: Find vertex form

1. Factor GCF: y = 2(x² + 8x + 13)
2. Complete the Square: y = 2(x² + 8x + 4² + 13 - 16)
3. Simplify: y = 2((x + 4)² + 13 - 16)
4. Combine like terms: y = 2((x + 4)² - 6)
5. Simplify: y = 2(x + 4)² - 6