|-3| means the absolute value of -3. The absolute value sign means the number without its negative. The dictionary says: the magnitude of a real number without regard to its sign.

So |-3|= 3 and -3= -3

7 0

2 years ago

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

Romashka [77]

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

8 0

2 years ago