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Question 2
Explain the difference between the graphs y = x3 and y = 3(x – 4)3 + 7.

1 Answer

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Answer:

The first graph , y=x³ is a cubic function graph and that of the second graph, y = 3(x – 4)3 + 7 is a linear graph.

Explanation:

The graph of y=x³ is a cubic function graph where the x term has the highest power of x as 3. As attached in the first graph.

The second graph for y = 3(x – 4)3 + 7. is a linear graph that can be written as;

y=(3x-12)3 +7

y=9x-36 + 7

y=9x - 29

which is a linear graph with a slope of 9 and cuts the y-axis at -29 as shown in the second attached graph.

Question 2 Explain the difference between the graphs y = x3 and y = 3(x – 4)3 + 7.-example-1
Question 2 Explain the difference between the graphs y = x3 and y = 3(x – 4)3 + 7.-example-2
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