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Quadratic Equation : Vertex and Intercepts

Can you please help me finding the vertex and intercepts for this equation, and whether it opens up or down?

y + -3x squared + 6x

Solution Preview

I suppose the question is:

y= -3x^2 + 6x

In that case we have to factor -3 and complete the square:

-3x^2 + 6x= -3( x^2 - 2x)= -3(x^2 - 2x + 1 -1 )= -3( (x-1)^2 - 1)= ...

Solution Summary

Vertex and intercepts are found. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.