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g100num [7]
3 years ago
6

Use the graph of a translated function below to answer this question

Mathematics
2 answers:
Talja [164]3 years ago
4 0

The graph of the function y=x^3 has the point of inflection at the origin. From the diagram you can the that the graph y=f(x - h) + k has the point of inflection at point (-2,-3). So you should translate the graph of the function y=x^3 2 units to the left and 3 units down. This translation is acting on function  y=f(x) in the following way:

  • translation 2 units to the left - y=f(x+2);
  • translation 3 units down - y=f(x+2)-3.

Then h=-2 and k=-3.

Answer: correct choice is A.

Anastasy [175]3 years ago
4 0
"k= -3" is the value among the choices given in the question that <span>is the value of k in the translated graph of f(x - h) + k. The correct option among all the options that are given in the question is the first option. I hope that this is the answer that you were looking for and it has actually come to your great help.</span>
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Part B

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Step-by-step explanation:

The question relates to containers, stacked one inside the other such that the height increases by only the wider top edge of the containers

The given expression that gives the height of the stack is presented as follows;

1.5·c + 7.6

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Part B

When the tower (height of the stack set) is 40.6 cm tall, we have;

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∴ The number of containers, c = (40.6 - 7.6)/1.5 = 22

When the tower is 40.6 cm tall, the number of containers in the set, c = 22 containers

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The number of containers (The independent variable, x) = The number of stacked rims = c

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Therefore, the height of a single container = 9.1 not 7.6

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