Math Review

Question 1

Geometric sequence

Answer 1

General: tn =a(r)^n-1
recursive: tn = a; tn - rtn-1

Question 2

geometric series

Answer 2

Sn = a(r^n-1)/r-1
Sn = tn-1 - t1/r-1

Question 3

arithmetic series

Answer 3

Sn = n(t1 +tn)/2
Sn = n[2a + (n=1)d]

Question 4

arithmetic sequence

Answer 4

general: tn = a + (n-1)d
recursive: t1= a; tn = tn-1 + d

Question 5

Trig Ratios

Answer 5

sin = csc
cos = sec
tan = cot

Question 6

quotient identities

Answer 6

tan = sin/cos
cot = cos/sin

Question 7

pythagorean identities

Answer 7

sin^2 + cos^2 = 1
1 + tan^2 = sec^2
1 + cot^2 = csc^2

Question 8

Sine law

Answer 8

a/sinA = b/sinB = c/sinC
SSA
ASA or AAS

Question 9

cosine law

Answer 9

c^2 = a^2 +b^2 - 2abcosC
SAS
SSS

Question 10

transformation notation

Answer 10

f(x) = af[k(x-d)]+c

Question 11

quadratic standard equation

Answer 11

y = ax^2 + bx + c

Question 12

Quadratic Vertex form

Answer 12

y = a(x-h)^2 + k

Question 13

quadratic factor form

Answer 13

y = a(x-r)(x-s)

Question 14

finding vertex, x-coordinates

Answer 14

vertex = r+s/2
vertex = -b/2a

Question 15

quadratic formula

Answer 15

x = -b (+/-) square root b^2 - 4ac/2a

Question 16

exponential function

Answer 16

f(x) - aB^x
a= initial value
B = Decay factor (1-r/100)
r = Decay in %

Question 17

exponential growth

Answer 17

f(x) = a(1+growth rate)^x

Question 18

exponential decay

Answer 18

f(x) = a(1-decay rate)^x

Question 19

profit and loss equations

Answer 19

profit = r-c
loss = c-r
r = revenue
c = cost

Question 20

of zeros/solutions

Answer 20

b^2-4ac >0: 2 zeros
b^2 - 4ac = 0: 1 zero
b^2 - 4ac <0: 0 zeros

Question 21

half life equation

Answer 21

m(t) = a(1/2)^ t/t^1/2

Question 22

sinusoidal transformation notation

Answer 22

f(x) = asin[k(x-d)]+c
f(x) = acos[k(x-d)]+c

Question 23

what does variable c mean in sinusoidal function

Answer 23

• vertical translation
  affects:
• y = x
• max & min
• range

Question 24

what does variable d mean in sinusoidal function

Answer 24

• horizontal translation

Question 25

what does variable a mean in sinusoidal function

Answer 25

• vertical stretch or compression
  affects:
• max & min
• amplitude
• range

Question 26

what does variable k mean in sinusoidal function

Answer 26

• horizontal stretch or compression
  affects:
• period changing it to 360/absolute value of k

Question 27

period

Answer 27

how long something is

Question 28

cycle

Answer 28

how many times it gets repeated

Question 29

equation of axis

Answer 29

y = max+min/2

Question 30

amplitude

Answer 30

y = max - min/2

Question 31

what is the equation for speed

Answer 31

speed = circumference/period