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What is the pattern for powers of ?. What kind of roots does each parabola have?. imaginary. Real,unequal. Real,equal. What is the value of anything raised to the zero power?. What is the distance formula?. Which graph varies inversely?. - PowerPoint PPT Presentation
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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