Prerequisite Material

Question 1

Point slope form:

Answer 1

y-y1 = m(x-x1)

Question 2

Equation of circle that is at origin:

Answer 2

x^2 + y^2 = r^2

Question 3

45/45/90 Triangle:

Answer 3

1/1/sqrt2

Question 4

30/60/90 Triange:

Answer 4

1/2/sqrt3

Question 5

Radians to degrees:
pi:
Pi over 2:
pi over 3:
pi over 4:
pi over 6:

Answer 5

180
90
60
45
30

Question 6

cscx:

Answer 6

1/sinx

Question 7

secx:

Answer 7

1/cosx

Question 8

cotx:

Answer 8

1/tanx

Question 9

tanx:

Answer 9

sinx/cosx

Question 10

cotx:

Answer 10

cosx/sinx

Question 11

sin^2x + cos^2x:

Answer 11

1

Question 12

1 + cot^2x:

Answer 12

csc^2x

Question 13

tan^2x +1:

Answer 13

sec^2x

Question 14

sin/cos/tan of 0:

Answer 14

0, 1, 0

Question 15

sin/cos/tan of 30// pi/6

Answer 15

1/2 // sqrt3/2 // sqrt3/3

Question 16

sin/cos/tan of 45 // pi/4

Answer 16

sqrt2/2 // sqrt2/2 // 1

Question 17

sin/cos/tian of 60 // pi/3

Answer 17

sqrt3/2 // 1/2 // sqrt3

Question 18

sin/cos/tan of 90 // pi/2

Answer 18

1/0/undefined

Question 19

Graph of Translations Formula:

Answer 19

f(x) = af(b(x+c)) +d

Question 20

Vertical Shift:

Answer 20

Moving graph up or down positive moves up, negative moves down.
The “d” in the formula.

Question 21

Vertical Stretch:

Answer 21

Multiplies the y-coordinates.
If it is multiplied by a number between 0 and 1, it is a vertical compression.
The “b” in the formula.

Question 22

Horizontal Shift:

Answer 22

Moves the graph to the right or left, positive moves to the left, negative moves right.
The “c” in the formula.

Question 23

Reflecting Through the X or Y Axis:

Answer 23

The “a” in the formula.

Question 24

a^m*a^n=

Answer 24

a^(m+n)

Question 25

a^m/a^n=

Answer 25

a^(m-n)

Question 26

(a^m)^n=

Answer 26

a^(m*n)

Question 27

a^-m=

Answer 27

1/(a^m)

Question 28

(a*b)^m=

Answer 28

a^m * b^m

Question 29

Anything to the ^0 =

Answer 29

1

Question 30

Logarithmic vs Exponential Forms:

Answer 30

logbn = a
b^a = n

Question 31

Natural Log:

Answer 31

logex = lnx

Question 32

Three logarithm properties to know:

Answer 32

Product Rule
Quotient Rule
Power Rule

Question 33

Log Product Rule:

Answer 33

Log(MN) = log(M) + log(N)

Question 34

Log Quotient Rule:

Answer 34

Log(M/N) = log(M) - log(N)

Question 35

Log Power Rule:

Answer 35

Log(M^p) = p*log(M)

Question 36

Difference Quotient Formula:

Answer 36

(f(x+h) - f(x)) / h

Question 37

Multiplying or dividing by a negative in linear inequalities:

Answer 37

Must reverse the inequality symbol.

Question 38

Quadratic Formula:

Answer 38

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