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In which direction does the parabola y+7x2=6y + 7x^2 = 6 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+7x2=6y + 7x^2 = 6 open?\newlineChoices:\newline(A)up\newline(B)down\newline(C)right\newline(D)left
  1. Identify Parabola Orientation: y+7x2=6y + 7x^2 = 6\newlineIdentify if the parabola is vertical or horizontal.\newlineSince the xx term is squared, it's a vertical parabola.
  2. Isolate yy in Standard Form: y+7x2=6y + 7x^2 = 6\newlineIsolate yy to get it into standard form.\newliney=67x2y = 6 - 7x^2
  3. Determine Parabola Direction: y=67x2y = 6 - 7x^2\newlineDetermine the direction the parabola opens.\newlineThe coefficient of x2x^2 is 77, so a=7a = 7.\newlineSince a>0a > 0, the parabola opens upwards.

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