Rewrite the function f(x)=-2(x+2)^2+6 in the form f(x)=ax^2+bx+c

Mathematics

1 answer:

Romashka [77]3 years ago

8 0

Answer:

f(x) = -2x² - 8x - 2

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 + 2)² + 6

Step 2: Find Standard Form

Expand by FOILing: f(x) = -2(x² + 4x + 4) + 6
Distribute -2: f(x) = -2x² - 8x - 8 + 6
Combine like terms (constants): f(x) = -2x² - 8x - 2

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