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In which direction does the parabola y+4x2=−4y + 4x^2 = -4 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+4x2=−4y + 4x^2 = -4 open?\newlineChoices:\newline(A) up\newline(B) down\newline(C) right\newline(D) left
  1. Identify Parabola Type: y+4x2=−4y + 4x^2 = -4\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+4x2=−4y + 4x^2 = -4\newlineIsolate yy to get it into standard form.\newliney=−4x2−4y = -4x^2 - 4
  3. Determine Parabola Direction: y=−4x2−4y = -4x^2 - 4\newlineDetermine the direction the parabola opens.\newlineThe coefficient of x2x^2 is −4-4, so a=−4a = -4.\newlineSince a<0a < 0, the parabola opens downwards.

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