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Flashcards in Happer Deck (32):
1

What are the indices rules?

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2

When should you complete the square?

When a quadratic equation will not factorise easily

3

How do you complete the square? (using x2 +yx + c)

Write in the form (x + y/2)2 -(y/2)2 + c

 

4

Complete the square of x2 + 6x + 7?

(x+3)2 -32 + 7

= (x+3)2 -2

5

Complete the square of 2x2 + 8x + 7?

2[x2 + 4x + 7/2]

= 2[(x+2)2 -22 + 7/2)

= 2[(x+2)2 - 1/2]

= 2(x+2)2 - 1 

6

How woulkd you complete the square of -x2 + 4x + 5

= -1[x2 -4x -5]

Then complete as normal to get

-1(x-2)2 + 9

7

What is the quadratic formula?

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8

What is the discriminant of the quadratic formula?

b2 - 4ac

9

What happens when b2 - 4ac > 0 ?

There are two real distinct roots

10

What happens when b2 - 4ac = 0 ?

There is one real root (repeated)

11

What happens when b2 - 4ac

No real roots

12

What are the inequality symbols?

Same for not equal to but circle not shaded in 

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13

How can you tell the line of symetry from completing the square?

(x + y)2 + c

Curve is left by y and up by c

14

What is a transformation of y = f(x-a)?

Transformation of the graph by (x+a,y)

15

What is the transformation of y = f(a) + b?

Graph is transformed by (x,y+b)

16

What is the transformation of y = af(x)?

Graph is strechted by scale factor a (parallel to y-axis)

(x,ay)

17

What is the transformation of y = f(ax)?

Transformation of graph by 1/a parallel to x axis

((1/a) x, y)

18

What is the transformation of y = -f(x)

Reflection of graph in x-axis

(x, -y)

19

What is teh transformation of y = f(-x)?

Reflection of graph in y-axis

(-x, y)

20

What order should be done with 2f(x+1)?

Stretch then translate

21

What is the sine rule?

a/sinA = b/sinB = c/sinC

sinA/a = sinB/b = sinC/c

22

What is the cosine rule?

a2 = b2 + c2 -2bc x cosA

23

What is the area of a non-right angle triangle ?

Area = 1/2 x base x height

Area = 1/2 x a x b x sinC

24

What is the lowercase and uppercase letters in triangles?

Lowercase - side

Uppercase - Angle

25

What are some values for the graph y=sinx ?

x = 0, y = 0

x = 90, y = 1

x = 180, y = 0

x = 270, y = -1

x = 360, y = 0

26

What are some values of y=cosx?

x = 0, y = 1

x = 90, y = 0

x = 180, y = -1

x = 270, y = 0

x = 360, y = 1

27

What is tanx equal to?

tanx = sinx/cosx

28

What are some values of y=tanx?

x = 0, y = 0

x = 90, y = ∞

x = 180, y = 0

x = 270, y = ∞

x = 360, y = 0

29

How do you find the values of sine after getting the principle value?

PV & 180 - PV

Repeat every 360

30

How do you find the values of cosine after getting the principle value?

PV, 360 - PV

Every 360

31

How do you find the values of tan after getting the principle value?

PV, PV +/- multiples of 180

32

What is the equation that links sin2x and cos2x?

sin2x + cos2x = 1