Will mark Brianliest !!!!!!! Please helppp!!!!!!!!!! Show your work correctly !!!!!!!!!!!!
1 answer:
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Answer:
D
Step-by-step explanation:
The minimum value is the value of the y- coordinate of the vertex.
Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
= -
y = x² + 6x + 6 ← is in standard form
with a = , b = 6, thus
= -
= - 4
Substitute x = - 4 into y and evaluate
y = (- 4)² + 6(- 4) + 6 = 12 - 24 + 6 = - 6
Thus minimum value = - 6 → D