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# 1. The diagram shows part of the graph of y = a (x – h)

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(1)

2

x

y

(Total 6 marks)

(2)

2

2

(Total 6 marks)

(2)

(2)

(3)

2

–1

(Total 6 marks)

(4)

−1

−1

Working:

(Total 6 marks)

(5)

1

1

1

1

(Total 6 marks)

4

(3)

3

4

### .

(3) (Total 6 marks)

(6)

9 2

(Total 4 marks)

5

8

(Total 4 marks)

(7)

5

7

12

(Total 4 marks)

4

4

3

(Total 4 marks)

(8)

3

5

(Total 6 marks)

4

(Total 6 marks)

(9)

9

2

(Total 6 marks)

(10)

3

Working:

(Total 6 marks)

3

8

(Total 6 marks)

(11)

3

8

(Total 5 marks)

10

3

(Total 6 marks)

10

8

2

(Total 6 marks)

n

6

4

(1)

(2)

(12)

### (c) Write down an expression for the sixth term in the expansion.

(3) (Total 6 marks)

2

5

10

8

6

4

(Total 6 marks)

4

5

2

(Total 6 marks)

(13)

3

6

12

(Total 6 marks)

4

(3)

2

4

2

### x .

(3) (Total 6 marks)

(Total 6 marks)

(14)

2

(Total 6 marks)

11

(1)

2

### .

(4) (Total 5 marks)

2

(15)

(16)

(2)

(2)

(4)

### second transformation.

(2) (Total 10 marks)

(17)

2

(Total 6 marks)

x

–1

(Total 6 marks)

(18)

2

2

–1

–1

(Total 6 marks)

(2)

–1

(1)

–1

### )(5).

(2) (Total 5 marks)

(19)

2

2

(3)

2

### + q.

(3) (Total 6 marks)

y

x

(2)

(20)

x+1

a

(Total 6 marks)

2

(5)

### (b) The line y = p intersects the graph of f. Find all possible values of p.

(2) (Total 7 marks)

3

−1

(Total 6 marks)

(21)

2

(4)

### (b) Find the x-coordinate of the vertex.

(2) (Total 6 marks)

2

2

2

2

(Total 6 marks)

(22)

(2)

2

(4)

2

(2)

–1

2

### (ii) Find the acceleration of the particle when its speed is zero.

(7) (Total 15 marks)

(23)

x y

A

C

B

(Total 4 marks)

2

(2)

2

(24)

2

y

x

2

(Total 4 marks)

(25)

2

(2)

(2)

### (c) On the same diagram, sketch the graph of y = g (−x).

(2) (Total 6 marks)

(26)

2

(Total 4 marks)

(2)

–1

### (x).

(3) (Total 5 marks)

(27)

2

y

y y

y

x

x x

x y=x2

(28)

(2)

–1

–1

### (18).

(4) (Total 6 marks)

–1

(Total 4 marks)

(29)

x

(3)

2

(2)

25

(3)

2

2

### (x – 7) = 3

(5) (Total 13 marks)

2

2

(3)

(2)

(1)

(2)

(30)

2

(4)

### (ii) Find the y-coordinate of the vertex.

(3) (Total 7 marks)

2

2

(3)

(1)

### (c) Express f(x) in the form f(x) = 2(x – p)(x – q).

(2) (Total 6 marks)

(31)

(3)

(2)

2

### . Find (g ° f)(x).

(2) (Total 7 marks)

3

–1

2x

(2)

–1

(1)

3

### (c) Find the value of (f

–1

(4) (Total 7 marks)

(32)

(2)

(1)

### (c) Find the value of p.

(3) (Total 6 marks)

(33)

2

2

(2)

(8)

(2)

2

### p and the value of t.

(3) (Total 15 marks)

(34)

2

2

2

(Total 4 marks)

–1

–1

(35)

2

2

(Total 7 marks)

2

(2)

(3)

2

(2)

### (d) The line y = 2x – 6 is a tangent to the graph of h at the point P. Find the x-coordinate of P.

(5) (Total 12 marks)

2

(5)

2

### + (k – 3)x + k = 0 has two equal real roots.

(2) (Total 7 marks)

(36)

2

–1

(2)

### (b) Find (f ° g)(4).

(3) (Total 5 marks)

2

2

(2)

### Find the coordinates of P.

(4) (Total 6 marks)

9

9

9

9

### ...

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