To find the coordinates of the vertex of the graph of the function y = -3x^2 - 12x + 3, we first need to rewrite the function in the standard form of a quadratic function: y = ax^2 + bx + c.
In this case, a = -3, b = -12, and c = 3.
Then, the x-coordinate of the vertex can be found using the formula: x = -b / 2a
x = -(-12) / 2(-3)
x = 12 / -6
x = -2
To find the y-coordinate of the vertex, we substitute x = -2 back into the function:
y = -3(-2)^2 - 12(-2) + 3
y = -3(4) + 24 + 3
y = -12 + 24 + 3
y = 15
Therefore, the coordinates of the vertex of the graph are (-2, 15).
What are the coordinates of the vertex of the graph of the function y equals negative 3x - 12x + 3
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