Pure Year 2

Question 1

What is the double angle formula for tan?

Answer 1

(2tanA)/(1-tan^2A)

Question 2

What is the double angle formula for cos?

Answer 2

1) cos^2A - sin^2A
2) 2cos^2A -1
3) 1-2sin^2A

Question 3

What is the double angle formula for sin?

Answer 3

2sinAcosA

Question 4

What MUST you remember when completing the square when the x^2 coefficient is not 1?

Answer 4

When taking out a factor ONLY FACTORISE X BITS- LEAVE C PART ON ITS OWN AND USE SQUARE BRACKETS SO THAT YOU ONLY MULTIPLY BITS PRODUCED BY BRACKET

SEE MATHS REVISION ALBUM PIC ON IPAD FOR CLARIFICATION

Question 5

What MUST you remember when completing the square and when you’re x^2 coefficient is negative?

Answer 5

Factor the negative out

Question 6

Describe the transformation of the graph y = 4e^(x)

Answer 6

All y co-ordinates multiplied by 4

Question 7

Describe the transformation of the graph y = 4e^(2x)

Answer 7

1) All x coordinates multipled by 1/2
2) All y coordinates multiplied by 4

ORDER IMPORTANT

Question 8

Describe the transformation of the graph y = e^(2x+3)

Answer 8

1) All x coordinates multipled by 1/2
2) Graph shifts left (negative x direction) by 3 units

ORDER IMPORTANT- NOT RIGHT

Question 9

Describe the transformation of the graph y = 2e^(2x) + 3

Answer 9

1) All x coordinates multipled by 1/2
2) All y coordinates multipled by 2
3) Graph shifts upwards by 3 units
ORDER IMPORTANT

Question 10

Describe the transformation of the graph y = -6e^(2x)

Answer 10

1) All x coordinates multipled by 1/2
2) All y coordinates multipled by -6 (ALSO reflection in x-axis)

ORDER IMPORTANT

Question 11

Describe the transformation of the graph y = 4e^(-5x)

Answer 11

1) All x coordinates multipled by -1/5 (ALSO reflection in y-axis)
2) All y coordinates multipled by 4