Respuesta :
Answer:
B
Step-by-step explanation:
Given a quadratic function in standard form
y = ax² + bx + c ( a ≠ 0 )
• If a > 0 then the graph opens upwards
• If a < 0 then the graph opens downwards
y = x² + 5x + 6 ← is in standard form
with a = 1 > 0
The graph therefore opens upward
on differentiating,
[tex] \frac{dy}{dx} = 2x + 5[/tex]
on 2nd differentiating,
[tex] \frac{ {d}^{2}y }{ {dx}^{2} } = 2[/tex]
since it's positive it's minimum and that means it points upwards.