Mathematics
Grade10
Easy

Question

Which of the following describes the difference between the graph of f and the graph of the output of f multiplied by 2?

  1. The slope changes by a factor of 2; the y - intercept does not change.
  2. Both the slope and  y - intercept  change by a factor of 2.
  3. The slope does not change; the  y - intercept changes by a factor of 2.
  4. Neither the slope nor  y - intercept change.

hintHint:

Use Horizontal compression.

The correct answer is: Both the slope and  y - intercept  change by a factor of 2.


    Given That:
    Which of the following describes the difference between the graph of f and the graph of the output of f multiplied by 2?
    >>>Let us consider the function f and it's respective output function:
     y = mx + c
    ->-> We were asked to find the variation of the function if it is multiplied by a factor of 2. Then,
    >>>      y' = 2mx + 2c
    >>>Therefore, the slope of a function becomes double and also the constant doubles.
    >>>>hence, we can say that the both the slope and the constant doubles.

    From the question it is clear that g left parenthesis x right parenthesis equals 2 f left parenthesis x right parenthesis.
    So, both the slope and y - intercept change by a factor of 2.

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