How is the graph of y8x22 different from the graph of y8x2


Introduction

The graph of y8x22 is different from the graph of y8x2 in a few ways. First, the graph of y8x22 is shifted to the left by two units, while the graph of y8x2 is not shifted. Second, the graph of y8x22 is steeper than the graph of y8x2. Finally, the graph of y8x22 has a y-intercept of 22, while the graph of y8x2 has a y-intercept of 2.

The graph of y8x22

The graph of y8x22 is different from the graph of y8x2 because the former is a parabola while the latter is a line.

The graph of y8x2

The graph of y8x2 is a parabola, while the graph of y8x22 is an ellipse. The two graphs are different because the equation for a parabola includes a squared term, while the equation for an ellipse does not. This means that the graph of y8x2 will always have a U-shaped curve, while the graph of y8x22 will have a more flattened curve.

Differences between the two graphs

The graph of y8x22 is different from the graph of y8x2 in a few ways. First, the domain of y8x22 is all real numbers, while the domain of y8x2 is only those real numbers greater than or equal to 2. Second, the range of y8x22 is all positive real numbers, while the range of y8x2 is only those positive real numbers less than or equal to 8. Finally, the graph of y8x22 is always concave up, while the graph of y8x2 is always concave down.

Conclusion

The graph of y8x22 is different from the graph of y8x2 because the former is a parabola while the latter is a line. The difference in their shapes is due to the different powers of x in each equation. In the equation for the graph of y8x22, the x term has a power of 2, while in the equation for the graph of y8x2, the x term has a power of 1. This means that the graph of y8x22 will be curved, while the graph of y8x2 will be straight.


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