Question

Write the function into standard form

f(x)=2(x-3)^2-4

Answer 1

f(x) = 2x² - 12x + 14

General Formulas and Concepts:

Algebra I

• Expanding by FOILing

• Combining like terms

• Standard Form: f(x) = ax² + bx + c

• Vertex Form: f(x) = a(x - h)² + k

Explanation:

Step 1: Define function

Vertex Form: f(x) = 2(x - 3)² - 4

Step 2: Convert to Standard Form

1. Expand by FOILing: f(x) = 2(x² - 6x + 9) - 4
2. Distribute 2: f(x) = 2x² - 12x + 18 - 4
3. Combine like terms: f(x) = 2x² - 12x + 14

And we have our final answer!