TopicName Test

WorkSHEET 2.2 Other graphs and modellingName: _________________________

Maths Quest 12 Mathematical Methods 2nd Ed. Page 1

1 State the transformations required to change into each of the following curves.(a)

(b)

2 For each of the following, state:(i) the equations of the asymptotes(ii) the domain(iii) the range.

(a)

(b)

3 Find the equation of the image of under each of the following transformations:(a) a reflection in the x-axis and a dilation by a factor of 4 in the y-direction, followed by a shift upwards of 2 units

(b) a translation of 2 units to the right and a reflection in the y-axis, followed by a dilation of in the y-direction.

4 Sketch and show clearly:(a) the position of the asymptotes

(b) the intercepts with the axes.

5 State the transformations required to change into each of the following.(a)

(b)

6 For each of the following, state the domain and the range.(a)

(b)

7 Sketch each of the following and show clearly any intercepts and end points.(a)

(b)

8

(a)

9

Sketch the graph of Show clearly the intercepts with the axes and the positions of the asymptotes. State the domain and range.

10Find the range of each of the following relations.(a)

(b)

(c)