NM250
NM250 NM250
  • 14-10-2021
  • Mathematics
contestada

The graph of the function y=x2 + 5x + 6 has a
A) Downward
B) Upward

Respuesta :

jimrgrant1 jimrgrant1
  • 14-10-2021

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

Answer Link
Upendo
Upendo Upendo
  • 14-10-2021

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.

Answer Link

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