Key Features Of Graphs
Transformations of Functions
Graphing Functions
Parent Functions
100
What is the direction of the domain of a given function?
Left to Right
100
Identify the transformations
f(x) = (x2 + 8) -9
Left 8 and Down 9
100
Given the equation f(x) =x3 - 5x +2.
State the y- intercept(s)
y- intercept - (0, 2)
100
I am the function represented by the equation
y = x2 Who am I
Quadratic Function.
200
Where is the functions increasing and decreasing?
Increasing: (2, infinity)
Decreasing: (neg. infinity, 2)
200
Write a quadratic function to model this shift from the parent function.
f(x) = (x - 4)2 + 3
200
Given the equation f(x) = x2 - 8
State the maximum and minimum.
Max: None
Min: -8
200
I am the function represented by the equation
y = x Who am I
Linear Function
300
Where is the function Increasing or Decreasing?
Increasing: (2, Infinity)
Decreasing: (- Infinity, 2)
300
Name the transformations of the following function:
f(x) = - |x - 4|+ 6
Right Four
Up 6
Reflected over the x-axis
300
Given the function f(x) = x2 +7
State the End behavior, decreasing/increasing intervals
End behavior: as x approach + infinity, f(x) approach + infinity
Decreasing - (-infinity, 0)
Increasing - (0, + infinity)
300
I am the function represented by the equation
y = x3 Who am I
Cubic function
400
How many Zeros does the graph have?
2
400
Describe how to transform the graph of 'f ' into the graph of 'g'
f(x) = square root of x
g(x) 9 times the square root of x
Compress by the factor of 9.
400
Graph the function f(x) = (2x -8)
State the parent function, domain, range, and x-intercept
Parent function - Linear
Domain - (- infinity, + infinity)
Range - (- infinity, + infinity)
X- intercept - ( 4,0)
400
I am the function represented by the equation
y = -7 Who am I
Constant Function
500
state all key features of a given graph that we have talked about in class.
Domain/ Range
x-int. / y- int.
max/min
increasing / decreasing
End behavior
500
Given the function f(x) = -2|x - 9| +2
State the transformation from the parent function.
reflected about the x- axis
Vertically compress by a factor of 2
shifted 9 units right
shifted 2 units up
500
Given the function f(x) = 1/2 |-4x +2 | -3
State the Domain, Range, x-int, y-int, Min, Increasing and Decreasing
Dom - (- infinity , + infinity) Range [-3, + infinity )
x-int- (-1,0) (2, 0) y-int - (0,-2) Min: -3
increasing- (0.5, +infinity)
Decreasing (- infinity , 0.5)
500
I am the function represented by the equation
y = |x| Who am I
Absolute Value Function .