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The graph above is for the linear function y = ax. Which of the following could represent the graph of y = ax + b,where bis a positive number?

The graph above is for the linear function y = ax. Which of the following could represent-example-1

1 Answer

3 votes

Answer

Option C is correct.

The third graph is the answer to this question.

Step-by-step explanation

When function is moved along the y-axis, the number of units by which it is moved is added to the function. That is, if a function is given as

y = f(x)

Once it is oved along the y-axis by about b units, the function becomes

y = f(x) + b

If the function is moved upwards along the y-axis, then, b is a positive number.

If the function is moved downwards along the y-axis, then, b is a negative number.

So, for this question where b is a positive number, the graph of the function will be moved upwards along the y-axis by b units.

Hence, option C expresses an upward movement of this graph along the y-axis and is the correct answer.

Hope this Helps!!!

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