State whether the parabola defined by the quadratic function below opens up or down.
\[
f(x)=3 x^{2}-2 x+2
\]
Up
Down

Answer

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Answer

Final Answer: The parabola defined by the quadratic function \(f(x)=3 x^{2}-2 x+2\) opens \(\boxed{Up}\).

Steps

Step 1 ：The direction in which a parabola opens is determined by the sign of the coefficient of the \(x^{2}\) term in the quadratic function. If the coefficient is positive, the parabola opens upwards. If the coefficient is negative, the parabola opens downwards.

Step 2 ：In this case, the coefficient of the \(x^{2}\) term is 3, which is positive.

Step 3 ：Therefore, the parabola opens upwards.

Step 4 ：Final Answer: The parabola defined by the quadratic function \(f(x)=3 x^{2}-2 x+2\) opens \(\boxed{Up}\).

State whether the parabola defined by the quadratic function below opens up or down.\[f(x)=3 x^{2}-2 x+2\]UpDown

Answer

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State whether the parabola defined by the quadratic function below opens up or down.
\[
f(x)=3 x^{2}-2 x+2
\]
Up
Down