Rewrite the function f(x)=-2(x-3)^2+7 in the form f(x)=ax^2+bx+c

f(x) = -2x² + 12x - 11

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) = -2(x - 3)² + 7

Step 2: Find Standard Form

Expand by FOILing:                         f(x) = -2(x² - 6x + 9) + 7Distribute -2:                                     f(x) = -2x² + 12x - 18 + 7Combine like terms (constants):     f(x) = -2x² + 12x - 11

Where are the functions?