A parabola which opens up has a lowest point and a parabola which opens down has a highest point.
The highest or lowest point on a parabola is called the vertex.
The parabola is symmetric about a vertical line through its vertex, called the axis of symmetry.
x - coordinate of vertex
x = - b / 2 a
In this case:
x = - ( - 12 ) / [ 2 ( - 3 ) ] = 12 / - 6 = - 2
y - coordinate:
y = - 3 ( - 2 ) ^ 2 - 12 ( - 2 ) + 3 =
- 3 * 4 + 24 + 3 = - 12 + 24 + 3 = 15
Answer D
What are the coordinates of the vertex of the graph of the function y = –3x² –12x + 3?
A.(–2, 29)
B.(2, –15)
C.(2, –9)
D.(–2, 15)
I think it is D?
2 answers
Thank you very much
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