Quadratic Equations
Transformations
The Unit Circle
Logarithms
Statistics
100
What is domain and range?
Domain: the set of input values (x)
Range: the set of output values(y)
100
What is the transformations formula for quadratic functions?
g(x)=af(1/b(x-h))+k
100
What equation do you use to go from degrees to radians?
x(𝛑radians/180°)
100
What log equation is inverse f(x)=bx?
f^-1(x)=logb(x)
100
A restaurant owner asks people that come during the least busiest time of day what they think of the food. What kind of sampling is it?
Convenience sampling
200
What is the slope of an equation?
y=mx+b
200
What transformation does k cause?
k causes a vertical translation. For k>0, the graph is translated up, for k<0, the graph is translated down
200
radians-> degrees
2𝛑/3
120°
200
What property of logarithms is this?
logbmn = logbm+logbn
Product Property of Logarithms
200
What is the mode of the list of values?
1, 4, 2, 2, 6, 1, 4, 7, 5, 4
4
300
What is the quadratic formula?
x=(-b±√b^2-4ac)/2a
300
What transformation does a cause?
a causes a vertical stretch / compression / reflection. For a>1, the graph is vertically stretched, for 0<a<1, the graph is vertically compressed, and for a<0, the graph is reflected over the x-axis
300
sin135°
√2/2
300
What property of logarithms is this?
logbmn = nlogbm
Power Property of Logarithms
300
What is the mean of the list of values?
76, 78, 79, 75, 76, 72, 79, 76, 72, 77
76
400
x2+9x+14=0
x=2 and x=7
400
y=2(x-2)+3
What are the values of a, h, and k?
a=2
h=2
k=3
400
Which 2 quadrants of the unit circle are cosine positive?
Quadrant 1 and 4
400
Solve log3(x+1)=2
x=8
400
Find the IQR:
IQR = 5
500
x=(-6±√(6)^2-4(1)(8))/2(1)
(-6±2)/2
500
y=3sin½(x)+1
What are the amplitude, period, and midline of the graph?
Amplitude:3
Period: 4𝛑
Midline: 1
500
tan90°
undefined
500
Solve log5(3x-8)=2
x=11
500
What is the mean, median, and mode of the following data?
Mean = 24.4
Mode = 20
Median = 20