Transformations of Absolute Values

Was a vertical transformation applied to this function?

• Vertical compression

• Vertical stretch

• No change

If you start with the function f(x)= |x+5|-2. The if you translate that graph 2 units down and 2 units left. What would be the new equation of the function?

• f(x)= -|x+7|-4

• f(x)= |x+3|-4

• f(x)= |x+7|-4

• f(x)= |x+3|

When comparing the parent function y=|x|, what transformations have happened to the function y= -|x+4|-3

• reflected over x-axis

• right 4

• left 4

• down 3

• up 4

Describe the changes that happened to this function.

• down 5

• right 2

• left 2

• vertical compression

For each circled number in the picture, use the drop-down option below to select the transformation it causes to the graph.

1) ​ (a)  

2)​ ​​ (b)  

• parent function

• shift up

• shift down

• shift right

• shift left

• vertical reflection

• vertical stretch

• vertical compression

For each circled number in the picture, use the drop-down option below to select the transformation it causes to the graph.

1) ​ (a)  

2) ​ (b)  

• parent function

• shift up

• shift down

• shift right

• shift left

• vertical reflection

• vertical stretch

• vertical compression

Describe the transformations of the absolute value equation.

• Flips to A shape, compresses wider, shifts right 1 unit

• Flips to A shape, compresses wider, shifts up 1 unit

• Flips to A shape, stretches more narrow, shifts right 1 unit

• Flips to A shape, stretches more narrow, shifts up 1 unit

For each circled number in the picture, use the drop-down option below to select the transformation it causes to the graph.

1) ​ (a)  

2) ​ (b)  

3)​ ​ ​ (c)  

4) ​ (d)  

• parent function

• shift up

• shift down

• shift right

• shift left

• vertical reflection

• vertical stretch

• vertical compression

For each circled number in the picture, use the drop-down option below to select the transformation it causes to the graph.

1) ​ (a)  

2) ​ (b)  

3) ​ (c)  

• parent function

• shift up

• shift down

• shift right

• shift left

• vertical reflection

• vertical stretch

• vertical compression

Which graph matches the function:
y = -2|x - 3| + 5

• A

• B

• C

• D