Each equation given below describes a parabola. Which statement best compares their graphs?x = 2y2 x = 8y2
Question
Each equation given below describes a parabola. Which statement best compares their graphs?x = 2y2 x = 8y2
Solution
Both equations represent parabolas that open to the right if y is greater than 0 and to the left if y is less than 0. However, the parabola described by x = 8y^2 is narrower than the one described by x = 2y^2. This is because the coefficient of y^2 in the second equation is larger, which compresses the graph of the parabola along the y-axis.
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