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In which direction does the parabola y−3x2=0y - 3x^2 = 0 open?\newlineChoices:\newline(A)up\newline(B)down\newline(C)right\newline(D)left

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Q. In which direction does the parabola y−3x2=0y - 3x^2 = 0 open?\newlineChoices:\newline(A)up\newline(B)down\newline(C)right\newline(D)left
  1. Identify Parabola Orientation: y−3x2=0y - 3x^2 = 0\newlineIdentify whether the given parabola is vertical or horizontal.\newliney−3x2=0y - 3x^2 = 0 has squared xx term.\newlineIt is a vertical parabola.
  2. Convert to Standard Form: y−3x2=0y - 3x^2 = 0\newlineConvert the equation to standard form by isolating yy.\newlineAdd 3x23x^2 to both sides.\newliney−3x2+3x2=0+3x2y - 3x^2 + 3x^2 = 0 + 3x^2\newliney=3x2y = 3x^2
  3. Determine Parabola Direction: y=3x2y = 3x^2\newlineIn which direction does the parabola open?\newlineThe coefficient of x2x^2 is 33, so a=3a = 3.\newlinea>0a > 0, the parabola opens up.

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