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Functions, 2ADV F2 SM-Bank 16

Let 

Let the graph of be a transformation of the graph of where the transformations have been applied in the following order:
• dilation by a factor of    from the vertical axis (parallel to the horizontal axis)
• translation by two units to the right (in the direction of the positive horizontal axis

Find and the coordinates of the horizontal axis intercepts of the graph of .  (3 marks)

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Functions, 2ADV F2 EQ-Bank 13

The curve    is subject to the following transformations

    • Translated 2 units in the positive -direction
    • Dilated in the positive -direction by a factor of 4
    • Reflected in the -axis

The final equation of the curve is  .

  1.  Find the equation of the graph after the dilation.  (1 mark)

  2.  Find the values of    and  .  (2 marks)

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ii.   
   

 

 

COMMENT: Using “swap” terminology for reflections in the y-axis is simpler and more intelligible for students in our view.

 

 

 

 
 

 

Functions, 2ADV F2 EQ-Bank 16

  has been produced by three successive transformations: a translation, a dilation and then a reflection.

  1. Describe each transformation and state the equation of the graph after each transformation.  (2 marks)

  2. Sketch the graph.  (1 mark)

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  2.  
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ii.   

Functions, 2ADV F1 SM-Bank 35

  1. Sketch the function    where    on a number plane, labelling all intercepts.  (1 mark)

  2. On the same graph, sketch  . Label all intercepts.  (2 marks)

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  2.   
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ii.