**Q4: **

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

**Q5: **

The figure shows the graph of and the point . The point is a local maximum. Identify the corresponding local maximum for the transformation .

- A
- B
- C
- D
- E

**Q6: **

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 ,

**Q7: **

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

**Q8: **

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

**Q9: **

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

**Q10: **

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:

**Q11: **

The figure shows the graph of and the point . The point is a local maximum. Identify the corresponding local maximum for the transformation .

- A
- B
- C
- D
- E

**Q12: **

The red graph in the figure has equation and the black graph has equation . Express as a transformation of .

- A
- B
- C
- D
- E

**Q13: **

This is the graph of .

Which of the following is the graph of ?

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

**Q14: **

The figure shows the graph of and point . Point is a local maximum. Identify the corresponding local maximum for the transformation .

- A
- B
- C
- D
- E

**Q15: **

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

**Q16: **

The figure shows the graph of and point , which is a local maximum. Identify the corresponding local maximum for the transformation .