Function Vocab
Transformations of Linear Functions
Writing Absolute Value Functions
Describing Absolute Value Functions
Is it a Function?
100
True or False-A relation is a set of ordered pairs
What is TRUE?
100
Given f(x) = 2x -1, translate it 4 units up.
What is g(x) = 2x +3?
100
The parent function flipped vertically and shifted to the right 1 unit.
What is y= -|x -1|?
100
y=|x| + 2
What is the shifted up by 2?
100
Is it a function?
{(2, 3), (4, 5), ( -2, 6)}
What is YES because x does not repeat?
200
The x-value of the coordinates of a relation or a function
What is Domain?
200
Given f(x) = 4x - 1, reflect the function across the y-axis.
What is g(x)= -4x -1?
200
The parent function stretched by a factor of 4.
What is y=4|x|?
200
y=|x+5|
What is shifted to the left 5 units?
200
Using the vertical line test does the graph of the points (1,3) and (1,5) represent a function?
What is False, the points fail the vertical line test
300
The y-values of the coordinates in a relation or a function
What is the range?
300
Given f(x) = 5x + 3, reflect the function across the x-axis.
What is f(x) = -5x - 3?
300
An absolute value function with a vertex of (-3, 5).
What is y=|x+3| + 5?
300
y= -2|x|
what is flipped vertically and stretched by a factor of 2?
300
Is it a function?
| x | y |
| 2 | 4 |
| 1 | 5 |
| 2 | 6 |
What is NO because x repeats?
400
A relation that has only one "x" value for every "y" value. Essentially, the x's do not repeat.
What is a function?
400
Given f(x)= 7x +8, translate the function to the left 3 units.
What is g(x)= 7x+28?
400
The vertex of an absolute value function moved to the left 9 units and down 5 units. The graph is also compressed by 1/3.
What is y= (1/3)|x+9|- 5?
400
y= |x-1| + 7
What is shifted to the right 1 unit and up 7 units?
400
Is it a function?
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What is YES because it passes the Vertical Line Test?
500
The test to tell if a graph is a function
What is the Vertical Line Test?
500
Given f(x) = 4x - 7, translate the function to the right 1 unit and down 6 units.
What is g(x) = 4x - 17?
500
The vertex is now located at (-10, 4), the graph is stretched by a factor of 5, and it is flipped vertically.
What is y= -5|x+10|+4?
500
y= -3|x+7| - 8
What is flipped vertically, stretched by a factor of 3, shifted left 7 units, and down 8 units?
500
Is it a function? 
What is NO because it does not pass the Vertical Line Test?