Transformation of Absolute Values

Write the equation for a graph that shifts down 9.

• y=|x|-9

• y=|x-9|

• y=-9|x|

• y=|x|+9

What is the transformation for the function: y=|x|+10 ?

• Shifted left 10

• Shifted right 10

• Shifted up 10

• Shifted down 10

What are the transformations of the equation: y = -¹/₂|x| + 3

• Stretch

• Reflect

• Vertical shift

• Shrink - Compress

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

When comparing the parent function y=|x|, what transformations have happened to the function

• up 1

• vertical compression

• vertical stretch

• left 3

• right 3

If you start with the function f(x)= |x-2|+1 The if you translate that graph 4 units down and 3 units left. What would be the new equation of the function?

• f(x)= |x+1|-3

• f(x)= |x-5|-3

• f(x)= |x+1|+4

• f(x)= |x-6|+4

Describe the transformation that is applied to the parent function.

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5

How does the following graph shift from the parent function y = |x|?

• Shift up

• Shift down

• Shift left

• Shift right