Math AA SL: Graph Transformations

#MAASL00167

[Maximum Mark: 6]

There exists a graph f(x) for 

a) Sketch the reflection of this graph over, first, the y axis, and then the x axis.

b) There exists a graph  which can be expressed as 

Find the value of  and 

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#MAASL00193

[Maximum Mark: 6]

Let  and .

a) The graph of  can be obtained from the graph of  using two transformations.

Give a full geometric description of each of the two transformations.

b) The graph  is translated by the vector  to give the graph of 

The point  on the graph of  is translated to the point  on the graph of . 

Find the coordinates of 

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#MAASL00194

[Maximum Mark: 6]

Let  and .

a) The graph of  can be obtained from the graph of  using two transformations.

Give a full geometric description of each of the two transformations.

b) The graph  is translated by the vector  to give the graph of 

The point  on the graph of  is translated to the point  on the graph of . 

Find the coordinates of 

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#MAASL00195

[Maximum Mark: 7]

Let  and 

a) Express  in the form 

b) The graph of  is a transformation of . Give a full geometric description of this transformation.

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#MAASL00196

[Maximum Mark: 7]

Let  and 

a) Express  in the form 

b) The graph of  is a transformation of . Give a full geometric description of this transformation.

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#MAASL00213

[Maximum Mark: 12]

Let  and . 

a) Find .

b) The Vector  translates the graph of  to the graph of .

Find the coordinates of the vertex of the graph of .

c) The vector  translates the graph of  to the graph of .

Show that .

d) The vector  translates the graph of  to the graph of . 

The line  is a tangent to the graph of  at the point . Find the  of .

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#MAASL00221

[Maximum Mark: 9]

Let  and . 

a) Find .

b) The Vector  translates the graph of  to the graph of .

Find the coordinates of the vertex of the graph of .

c) The vector  translates the graph of  to the graph of .

Show that .

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#MAASL00222

[Maximum Mark: 6]

There exists a graph f(x) for 

a) Sketch the reflection of this graph over, first, the y axis, and then the x axis.

b) There exists a graph  which can be expressed as 

Find the value of  and 

Detailed Answers/Video Explanations Answer

#MAASL00223

[Maximum Mark: 6]

Consider this function: . The graph of  is translated 2 units to the left and 3 units up. The graph of the function  is the result of this transformation.

a) What are the coordinates for the vertex of graph ?

b) Express  in the form 

c) The graph of  is the reflection of graph  about the x-axis. What is the vertex of ?

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#MAASL00224

[Maximum Mark: 6]

Consider this function: . The graph of  is translated 4 units to the right and 2 units down. The graph of the function  is the result of this transformation.

a) What are the coordinates for the vertex of graph ?

b) Express  in the form 

c) The graph of  is the reflection of graph  about the x-axis. What is the vertex of ?

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