Evaluate f(x+3) when f(x)=-x^2-2x+2

f(x + 3) = -x² - 8x - 13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function NotationExpandingTerms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

f(x) = -x² - 2x + 2

f(x + 3) is x = x + 3

Step 2: Find

Substitute in x:                    f(x + 3) = -(x + 3)² - 2(x + 3) + 2Expand:                               f(x + 3) = -(x² + 6x + 9) - 2x - 6 + 2Distribute -1:                        f(x + 3) = -x² - 6x - 9 - 2x - 6 + 2Combine like terms:           f(x + 3) = -x² - 8x - 13

7.666270253x10 raised to the 18th power