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

User Isalgueiro
by
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2 Answers

5 votes

on differentiating,


(dy)/(dx) = 2x + 5

on 2nd differentiating,


\frac{ {d}^(2)y }{ {dx}^(2) } = 2

since it's positive it's minimum and that means it points upwards.

User Sanal S
by
8.8k points
1 vote

Answer:

B

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

User Fudo
by
8.4k points

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