Answer: y = 3(x-3)^2-4
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Step-by-step explanation:
The graph of y = 3x^2 has (0,0) as the vertex.
To move from (0,0) to (3,-4) we will shift 3 units right and 4 units down.
Therefore, we will have y = 3(x-3)^2-4 as the answer
It is of the form y = a(x-h)^2+k with (h,k) being the vertex.
The 'a' value out front vertically stretches or compresses the parabola. Also if a > 0, then the parabola opens upward; or if a < 0, then the parabola opens downward.
We keep the same value of 'a' so that both parabolas have the same shape.