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In which direction does the parabola x+y2=−7x + y^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 x+y2=−7x + y^2 = -7 open?\newlineChoices:\newline(A)up\newline(B)down\newline(C)right\newline(D)left
  1. Identify Parabola Type: Look at the equation x+y2=−7x + y^2 = -7. Since the yy term is squared and the xx term is not, this means it's a horizontal parabola.
  2. Rewrite Equation for Direction: Rewrite the equation to see the direction of opening.\newlinex=−y2−7x = -y^2 - 7\newlineThe coefficient of y2y^2 is negative, so the parabola opens to the left or right.
  3. Determine Direction of Opening: Since the coefficient of y2y^2 is −1-1, which is less than 00, the parabola opens to the left.

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