Domain and Range
Transformations (A,H,K)
Absolute Value Transformations
Absolute Value Transformations 2
100
What is the definition of domain?
What is the definition of range?
Domain: all values of x
Range: all values of y
100
This parameter makes the graph Stretch or Compress and reflects it over the x-axis if negative.
A
100
Identify all the transformations for the absolute value function.
y = |x| - 4
Translates down 4 units
100
Identify the transformations of the following function:
y=|x+2|
Left 2 units
200
What is the Domain of this Graph?
[-4,3]
200
In y = (x – h)² + k, this parameter shifts the graph left or right.
H
200
Identify all the transformations for the absolute value function.
y = |x + 2| + 10
1. Translates left 2 units
2. Translates up 10 units
200
Identify the transformations of the following function:
y=-|x-3|
Reflect over x-axis
Right 3 units
300
A point where the graph crosses the x-axis.
an x-intercept
300
The graph of y = 2(x – 3)² + 4 is shifted this many units right and up.
3 units right and 4 units up?
300
Identify all the transformations for the absolute value function.
y= - 1/2| x - 5| + 8
1. Reflects over x-axis
2. Vertical Compression by a factor of 1/2
3. Translates right 5 units
4. Translates up 8 units
300
Identify the transformations of the following function:
f(x) = |x-2|+1
Right 2 units
Up 1 unit
400
intervals where a graph increases as x increases.
Intervals where a graph decreases as x increases
Increasing Intervals
Decreasing Intervals
400
If a = –½, the parabola does these two things.
A reflection over the x-axis and has a vertical compression
400
Identify all the transformations for the absolute value function.
y = -3 |x + 3| - 2
1. Vertical stretch by a factor of 3
2. Reflects over x-axis
3. Translates left 3 units
4. Translates down 2 units
400
Identify the transformations of the following function:
f(x) =
1/2|x-2|+5
Compression by a factor of 1/2
Right 2 units
Up 5 units
500
A point where the graph crosses the y-axis.
Y-Intercept
500
Solve The equation y = -3(x – 4)² + 7
reflected over the x-axis, vertical stretch by 3 units , shifted 4 units right and 7 units up
500
Identify all the transformations for the absolute value function and graph it
y= -5|x+6|-11
1. Reflects over x-axis
2. Vertical Stretch by a factor of 5
4. Translates left 6 units
5. Translates down 11 units
500
Identify the transformations of the following function:
f(x)=-3|x-4|+9
Reflects over x-axis
Stretch by a factor of 3
Right 4 units
Up 9 units