Question

(2A)
Find f(2x + 4) for f(x) = 1 - x2

Answer 1

f(2x + 4) = -4x² - 16x - 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Distributive Property

Algebra I

• Terms/Coefficients
• Expanding (FOIL)

Explanation:

Step 1: Define

Identify

f(x) = 1 - x²

Step 2: Evaluate

1. Substitute in x [Function f(x)]: f(2x + 4) = 1 - (2x + 4)²
2. Expand [FOIL]: f(2x + 4) = 1 - (4x² + 16x + 16)
3. (Parenthesis) Distribute negative: f(2x + 4) = 1 - 4x² - 16x - 16
4. Combine like terms: f(2x + 4) = -4x² -16x - 15