Answer:
g(x) has a minimum
Step-by-step 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