Question

What is the quadratic function f(x)=x^2+2x-2 in vertex form?

a. f(x)=(x+1)^2-1

b. f(x)=(x+1)^2-3

c. f(x)=(x-1)^2-3

d. f(x)=(x-1)^2-1

Answer 1

Given: f(x) = x² + 2x - 2
Add 2 to both sides: f(x) + 2 = x² + 2x
Complete the square: f(x) + 2 + (1) = x² + 2x + (1) → f(x) + 3 = (x + 1)²
Subtract 3 from both sides: f(x) = (x + 1)² - 3

Answer: B