**Q1: **

Which of the following processes would you use to obtain the graph of from the graph of ?

- reflect the graph in the -axis
- reflect the graph in the -axis
- reflect the graph in the line
- reflect the graph in the line

- Ab only
- Ba only
- Cc and d
- Da and b
- Ed only

**Q2: **

This is the graph of .

Which of the following is the graph of ?

- A(c)
- B(a)
- C(b)

**Q3: **

Consider the following graph of the linear function .

Which of the following is the graph of the function ?

- A(c)
- B(a)
- C(d)
- D(b)

**Q4: **

The function is stretched in the horizontal direction by a scale factor of and in the vertical direction by a scale factor of . Write, in terms of , the equation of the transformed function.

- A
- B
- C
- D
- E

**Q5: **

The function is translated eight down. Write, in terms of , the equation of the translated graph.

- A
- B
- C
- D
- E

**Q6: **

The function is stretched in the horizontal direction by a scale factor of 2 and in the vertical direction by a scale factor of 2. Write, in terms of , the equation of the transformed function.

- A
- B
- C
- D
- E

**Q7: **

The function is stretched in the horizontal direction by a scale factor of . Write, in terms of , the equation of the transformed function.

- A
- B
- C
- D
- E

**Q8: **

Daniel thinks that he can map the graph of the function to the graph of any other linear function by a translation followed by a stretch. This is equivalent to saying that any linear function can be written in the form for suitable values of and .

Is he right?

- Ano
- Byes

Suppose that and is as before. Find and in terms of and when it is possible to write in the form .

- A ,
- B ,
- C ,
- D ,
- E ,

Let and . Find the values of and for which . Use the following graph to help you.

- A ,
- B ,
- C ,
- D ,
- E ,

**Q9: **

Graphs and in the diagram are the graphs of square root functions. They are symmetric about the origin. The equation of graph is . Knowing that a point reflection about the origin is equivalent to a reflection in the -axis followed by a reflection in the -axis, find the equation of graph .

- A
- B
- C
- D
- E

**Q10: **

Consider the function given by .

Which of the graphs in the given diagram is the reflection of the graph of in the -axis?

- AH
- BF
- CE
- DG

Write its equation.

- A
- B
- C
- D

**Q11: **

Consider the function given by .

Which of the graphs in the given diagram is the reflection of the graph of in the -axis?

- AG
- BE
- CC
- DA

Write its equation.

- A
- B
- C
- D

**Q12: **

Consider the function .

Which of the following is the graph of ?

- AC
- BA
- CD
- DB

State the domain and range of .

- Adomain: , range:
- Bdomain: , range:
- Cdomain: , range:
- Ddomain: , range:

**Q13: **

Consider the function .

Which of the graphs shown in the given diagram is the reflection of in the -axis?

- AF
- BG
- CE
- DH

Write its equation.

- A
- B
- C
- D

**Q14: **

Consider the function .

Which of the following is the graph of ?

- AC
- BB
- CD
- DA

How would you describe the transformation from to ?

- Adilation in the vertical direction by a factor of 3
- Bdilation in the horizontal direction by a factor of 3
- Ctranslation three units up

State the domain and range of .

- A domain: , range:
- Bdomain: , range:
- Cdomain: , range:

**Q15: **

Consider the function given by .

The function is obtained by dilating in the horizontal direction by a factor and translating it units horizontally. Write the equation for .

- A
- B
- C
- D

Find so that .

- A
- B
- C
- D

Find so that .

- A
- B
- C
- D

Use your previous answers to find the equation of the graph shown in the given diagram.

- A
- B
- C
- D

**Q16: **

Consider the root function .

The function has been obtained by translating three units down and five units to the left. Write its equation.

- A
- B
- C
- D
- E

State the domain and range of .

- Adomain: , range:
- Bdomain: , range:
- Cdomain: , range:
- Ddomain: , range:
- Edomain: , range:

**Q17: **

Consider the function given by .

The function is obtained by dilating in the vertical direction by a factor and translating it units horizontally and units vertically. Write an equation for .

- A
- B
- C
- D

Where is the origin mapped to when transforming from the graph of to the graph of ?

- A
- B
- C
- D

Find .

- A
- B
- C
- D

Use your previous answers to find the equation of the graph shown in the given diagram.

- A
- B
- C
- D

**Q18: **

Consider the function given by .