Question

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

Answer 1

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.

Answer 2

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