Rewrite the function f(x)=3(x-1)^2+9 in the form f(x)=ax^2+bx+c

f(x) = 3x² - 6x + 12

General Formulas and Concepts:

Order of Operations: BPEMDAS Expand by FOIL (First Outside Inside Last) Standard Form: f(x) = ax² + bx + c Vertex Form: f(x) = a(bx + c)² + d

Step-by-step explanation:

Step 1: Define function

Vertex Form: f(x) = 3(x - 1)² + 9

Step 2: Find Standard Form

Expand by FOILing:                         f(x) = 3(x² - 2x + 1) + 9Distribute 3:                                      f(x) = 3x² - 6x + 3 + 9Combine like terms (constants):     f(x) = 3x² - 6x + 12

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