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

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