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Each equation given below describes a parabola. Which statement best compares their graphs?y = -3x2       y= -7x2A.Both parabolas open downward, and y = -3x2 is wider than y = -7x2.B.Both parabolas open downward, and y = -7x2 is wider than y = -3x2.C.Both parabolas open to the left, and y = -7x2 is wider than y = -3x2.D.Both parabolas open to the left, and y = -3x2 is wider than y = -7x2.SUBMITarrow_backPREVIOUS

Question

Each equation given below describes a parabola. Which statement best compares their graphs?y = -3x2       y= -7x2A.Both parabolas open downward, and y = -3x2 is wider than y = -7x2.B.Both parabolas open downward, and y = -7x2 is wider than y = -3x2.C.Both parabolas open to the left, and y = -7x2 is wider than y = -3x2.D.Both parabolas open to the left, and y = -3x2 is wider than y = -7x2.SUBMITarrow_backPREVIOUS

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Solution

The correct answer is A. Both parabolas open downward, and y = -3x2 is wider than y = -7x2.

Here's why:

  1. The sign of the coefficient of x^2 in both equations is negative, which means both parabolas open downward.

  2. The 'width' of a parabola is determined by the absolute value of the coefficient of x^2. The larger the coefficient, the 'narrower' the parabola. Conversely, the smaller the coefficient, the 'wider' the parabola.

  3. In this case, the absolute value of -3 is less than the absolute value of -7, which means the parabola y = -3x2 is wider than y = -7x2.

This problem has been solved

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