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In which direction does the parabola y+4x2=0y + 4x^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+4x2=0y + 4x^2 = 0 open?\newlineChoices:\newline(A)up\newline(B)down\newline(C)right\newline(D)left
  1. Rewrite Equation: Now, let's rewrite the equation to see the standard form of the parabola.\newlineSubtract yy from both sides to isolate the 4x24x^2 term.\newliney+4x2−y=0−yy + 4x^2 - y = 0 - y\newline4x2=−y4x^2 = -y
  2. Divide by 44: Next, we divide by 44 to get x2x^2 on its own.\newline4x2/4=−y/44x^2 / 4 = -y / 4\newlinex2=−y/4x^2 = -y / 4
  3. Coefficient Analysis: Now we look at the coefficient of x2x^2, which is 11. Since the coefficient is positive, the parabola opens upwards.

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