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

y = 2(x + 4)² - 6

General Formulas and Concepts:

Order of Operations: BPEMDASCompleting the Square

Step-by-step explanation:

Step 1: Define function

y = 2x² + 16x + 26

Step 2: Find vertex form

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