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AnxiousKid
14.07.2020 •
Mathematics
2 Points
What is the vertex of the graph of this equation y=-4x2 - 16x - 12?
O A. (-2,-4)
O B. (2, 4)
O C. (2, -4)
D. (-2,4)
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Ответ:
D
Step-by-step explanation:
Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
y = - 4x² - 16x - 12 ← is in standard form
with a = - 4 and b = - 16 , thus
Substitute x = - 2 into y for corresponding y- coordinate
y = - 4(- 2)² - 16(- 2) - 12 = - 16 + 32 - 12 = 4
vertex = (- 2, 4 ) → D
Ответ: