Each equation given below describes a parabola. which statement best compares their graphs?

y = -3x2 y= -7x2

a. both parabolas open downward, and y = -7x2 is wider than y = -3x2.
b. both parabolas open downward, and y = -3x2 is wider than y = -7x2.
c. both parabolas open to the left, and y = -3x2 is wider than y = -7x2.
d. both parabolas open to the left, and y = -7x2 is wider than y = -3x2.

The answer would be B. Both parabolas open downward, and y = -3x2 is wider than y = -7x2.

 The correct statement is (B). Both parabolas open downward, and is wider than

Step-by-step explanation:  The equations of the two parabolas are as follows:

The standard equation of a parabola is given by

If a < 0, then the parabola open downwards and if a > 0, then the parabola open upwards.

From equation (i), we have

so a = -3 < 0, so the parabola (i) open downwards.

From equation (ii), we have

so a = -7 < 0, so the parabola (ii) open upwards.

Also, since -3 > -7, so the parabola (i) is wider than the parabola (ii).

Therefore, both parabolas open downward, and is wider than

The graphs of the parabolas are shown in the attached figure.

Thus, (B) is the correct ption.

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step-by-step explanation:

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