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Describe the graph of g (x) = x2 + 2 compared with the graph of f (x) = 22

User Leveluptor
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Final answer:

The graph of f(x) = 22 is a horizontal line from x=0 to 20 at y=22, while g(x) = x^2 + 2 is a parabola opening upwards starting from (0,2), and it increases as x increases within the domain.

Step-by-step explanation:

The student's question involves comparing the graph of g(x) = x2 + 2 to the graph of f(x) = 22. The graph of f(x) is a horizontal line at y=22, and it only extends from x = 0 to x = 20, representing a constant function within this domain. On the other hand, the graph of g(x) is a parabola opening upwards with its vertex at (0,2), showing how the value of y increases as x moves away from the origin, either positively or negatively. This implies that for x values within the range from 0 to 20, the graph of g(x) will start at (0,2) and rise as x increases, with the rate of increase becoming more rapid due to the quadratic nature of g(x). When labeling these on the same set of axes, the scales should reflect the maximum x and y values relevant for the graphs.

User MeetM
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