Question

Write the quadratic function in standard form

Answer 1

B. f(x) = x² + 10x + 17

Explanation:

Given:

f(x) = (x + 5)² - 8

Required:

Write in standard form

SOLUTION:

f(x) = (x + 5)² - 8

Expand (x + 5)²

f(x) = (x + 5)(x + 5) - 8

f(x) = x(x + 5) +5(x + 5) - 8

f(x) = x² + 5x + 5x + 25 - 8

Add like terms

f(x) = x² + 10x + 17