How is the graph of y2x25 different from the graph of y2x2


The graph of y2x25

The graph of y2x25 is different from the graph of y2x2 because the former is a parabola and the latter is a circle. The graph of y2x2 is also shifted to the left by two units.

The shape of the graph

The graph of y2x25 is a parabola, while the graph of y2x2 is a line.

The intercepts of the graph

The graph of y2x25 is different from the graph of y2x2 in that the former has an x-intercept of 5 and the latter has an x-intercept of 2.

The asymptotes of the graph

The asymptotes of the graph of y2x25 are the lines x=0 and y=0. The asymptotes of the graph of y2x2 are the lines x=0 and y=2.

The graph of y2x2

The graph of y2x2 is a parabola that is concave up. The graph of y2x25 is also a parabola, but it is concave down. The two graphs are different because of the different signs on the x2 term. When the x2 term is positive, the graph is concave up. When the x2 term is negative, the graph is concave down.

The shape of the graph

The graph of y2x2 is a parabola, while the graph of y2x25 is an oval.

The intercepts of the graph

The graph of y2x2 has two x-intercepts (at x = 0 and x = -5) and two y-intercepts (at y = 0 and y = 25). The graph of y2x25 has one x-intercept (at x = 0) and two y-intercepts (at y = 0 and y = 25).

The asymptotes of the graph

The asymptotes of the graph of y2x25 are the lines x=0 and y=0, while the asymptotes of the graph of y2x2 are the lines x=±5 and y=0.


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