Let $t$ be a parameter that varies over all real numbers.  Any parabola of the form
\[y = 3x^2 + tx - 2t\]passes through a fixed point.  Find this fixed point.
Question:
Let $t$ be a parameter that varies over all real numbers.  Any parabola of the form
\[y = 3x^2 + tx - 2t\]passes through a fixed point.  Find this fixed point.
Answer:
Let's think step by step.

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(2,12)
Let $t$ be a parameter that varies over all real numbers.  Any parabola of the form
\[y = 3x^2 + tx - 2t\]passes through a fixed point.  Find this fixed point.
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