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

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

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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 $U p$ .

State whether the parabola defined by the quadratic function below opens up or down.f(x)=3x2−2x+2UpDown

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