Question

Determine whether g(x)=x2-5x+2 has a minimum of maximum

Answer 1

g(x) has a minimum

Explanation:

Given a quadratic in standard form

g(x) = ax² + bx + c ( a ≠ 0 )

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

Given

g(x) = x² - 5x + 2 ← in standard form

with a > 0 , thus

g(x) has a minimum