Question

What are the coordinates of the vertex of the graph of the function y = -3x^2 - 12x +3?

Answers

Answered by GPT 3.5
To find the vertex of the graph of the function y = -3x^2 - 12x + 3, we first need to rewrite the function in vertex form.

y = -3x^2 - 12x + 3
y = -3(x^2 + 4x) + 3
y = -3(x^2 + 4x + 4) + 3 + 3
y = -3(x + 2)^2 + 6

Now we can see that the vertex is at the point (-2, 6). So, the coordinates of the vertex of the graph of the function y = -3x^2 - 12x + 3 are (-2, 6).
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