Question

Rewrite the function by completing the square
f(x)=x^2-14x+63

Answer 1

f(x) = (x - 7)² - 14

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Algebra I

• Standard Form: ax² + bx + c = 0
• Vertex Form: f(x) = a(bx - c)² + d
• Completing the Square: (b/2)²

Explanation:

Step 1: Define

f(x) = x² - 14x + 63

Step 2: Rewrite

1. Separate: f(x) = (x² - 14x) + 63
2. Complete the Square: f(x) = (x² - 14x + 49) + 63 - 49
3. Simplify: f(x) = (x - 7)² - 14