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krok68 [10]
3 years ago
8

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

Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0

Answer:

f(x + 3) = -x² - 8x - 13

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation
  • Expanding
  • Terms/Coefficients/Degrees

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = -x² - 2x + 2

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

<u>Step 2: Find</u>

  1. Substitute in <em>x</em>:                    f(x + 3) = -(x + 3)² - 2(x + 3) + 2
  2. Expand:                               f(x + 3) = -(x² + 6x + 9) - 2x - 6 + 2
  3. Distribute -1:                        f(x + 3) = -x² - 6x - 9 - 2x - 6 + 2
  4. Combine like terms:           f(x + 3) = -x² - 8x - 13
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