What is the pattern for powers of ?

What is the pattern for powers of ?i

1,,1, ii

What kind of roots does each parabola have?

Real,unequal Real,equal imaginary

042 acb 042 acb 042 acb

What is the value of anything raised to the zero power?

1

What is the distance formula?

221

221 yyxxd

Which graph varies inversely?

What is the equation for a circle centered at the origin with a radius of 4?

1622 yx

How do you solve a radical Equation?

Square both sides.

Always check answers.

63 x

2263 x363 x

3 333x

66

636

6333

What is the equation for the sum of the roots?

a

bsum

What is the equation for the product of the roots?

a

cproduct

What does the graph of y = x look like?

1011

801

1

1

Any odd #

Any even #

What is the equation for a circle with center ( 3 , -2 ) and radius 5?

23x 22y 25

Sing the Quadratic Formula.

a

acbbx

2

42

How do you find the intersection of two graphs on your calculator?

2nd, trace, intersect

How do you solve an absolute value equation?

Two set ups: one positive, one negative.

512 x

512 x 512 x1 1 1 1

42 x 62 x2 2 2 2

2x 3x

Always check answers!

55

55

51)2(2

55

55

51)3(2

How do you solve the equation:10512 x

5 5512 x

22 )5()12( x2512 x

1 1262 x13x

Give an example of an equation for a parabola.

2xy

432 2 xxy

92 xy

What does the graph of y = 4 look like?

x

y

Give an example of an equation for a sideways parabola.

2yx

What is the vertical line test for?

To see if something is a function.

What does the graph of x = 2 look like?

x

y

Is it a function? No.

What shape is the graph of ?8xy

A hyperbola.

What is the domain of xy

Look at graph:

Look at table: x y

2

1

0

1

2

414.1

1

0

error

error

0: xD

What is the horizontal line test for?

To see if a function is one-to-one.

(That means its inverse is a function)

How do you find the points where a graph crosses the x axis on your calculator?

Second, Trace, Zero

How do you solve an absolute value inequality?

Two set ups one positive, one negative.

Flip the inequality symbol on the negative one.

512 x512 x 12 x 5

1 11 142 x 62 x

2 2 2 2

2x 3x

Find the exact value of: 45tan

1

What does equal?x2sin1

x2cos

Find the exact value of: 30tan

3

3

If how do you find all values of x in the interval ?

2

1sin x

3600 x30ref

:

:

QIV

QIII 21030180 33030360

For what values of x in the interval is ?

3600 x

0cos x

27090 and

Find the exact value of: 45cos

2

2

Find the exact value of: 60sin

2

3

Find the exact value of:

30sin

2

1

If you are given that and angle A is in quadrant III, how do you find

?

3

2sin A

Acos

A

2 3

x

222 32 x94 2 x

52 x

5x

hyp

adjAcos

3

5cos A

Cos is neg in QIII

When you use the formula must be an angle in ________.

r

s

radians

Find the exact value of: 60cos

2

1

How do you solve for x?

)102cot()tan( xx90102 xx90103 x

10 10

1003 x

3

133x

What formula should you use for the following? 4

x

6

r

s

If , what is the value of ?

3sec xxcos

3

1cos x

What does equal?x2cos1

x2sin

Give the set up for exactly 3 out of 5 successes if probability of success is .

3

1

23

35 3

2

3

1

C

For the normal distribution, approximately what percent of scores are within 1 standard deviation of the mean?

68%

Give a single log statement that is equivalent to:

BA loglog

B

Alog

Write the following expression with a fractional exponent.

4 3x

4

3

x

What 3 types of equation must you always check your solutions?

Absolute valueRadical

Fractional (for zeros in denominator)

If you are given three sides of a triangle and need to find one angle, what do you do?

57

10

x

xcos5725710 222

Law of Cosines!

A square root is the same as what exponent?

2

1

Find the exact value of: 45sin

2

2

Find the exact value of:

30cos

2

3

How do you find a coterminal angle?

Add or subtract 360 degrees.

42036060

30036060

Find the exact value of: 60tan

3

tan

cos

sin

cot

sin

cos

seccos

1

cscsin

1

In the equation:

What do a, b, h and k represent?

khxbay )(sin

amplitudea frequencyb

shifthorizontalh

shiftverticalk

What does the graph of

look like?xy2

1cos

A slide2

2

3 2

How do you solve ?482 xx

Get like bases:

Set exponents equal:

Solve:

4322

xx

43 xx

123 xxx3 x3

122 x2 2

6x

Simplify:

8x 4x

410ba25ba

3 12x4x

Simplify:

7x

xx 63x

xx3

What is the resultant in a forces problem?

The diagonal

What does a negative exponent mean?

2a2

1

a

What does a fractional exponent mean?

Take the root of the denominator

233

2

88

Raise to the power of the numerator

What letter represents correlation coefficient?

r

Give the coordinates of one point that every log graph passes through:

0,1 0,1

What does the graph of

look like?xy2

1sin

2

2

3 2

A rainbow.

What is the relationship between an exponential function and a log function?

They are inverses of each other.

Write a single log statement equivalent to 4log8log2

4log8log 2 4log64log

4

64log

16log

Give the coordinates of the point that every exponential graph passes through.

1,0

What does a log graph look like?

How do you find the inverse of an equation?

Switch x and y, solve for y.43 xy

43 yx4 4

yx 34 3 3

3

4x

y

How do you set up a forces problem?

Force #1

Force #2 resultant

How do you rationalize a denominator?

3

2

3

3 3

32Monomial:

Top & bottom by same radical

Binomial:

Top & bottom by conjugate 53

2

)53(

)53(

553539

526

4

526

What are the 4 perfect cubes you should have memorized?

8, 27, 64, 125

What is the formula for the period of a trig graph?

bperiod

2

How do you solve for a variable in the exponent?

83 x

lboe x log3 8

Change of base rule: 3log

8logx

8928.1x

For the normal distribution, what percentile is 1 standard deviation above the mean?

th84