Transformations of Absolute Values

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Was a vertical transformation applied to this function?

• Vertical compression

• Vertical stretch

• No change

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

y= 2|x-3|+1

• 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

Which are true about the b value in y=a|b(x-h)|+k

• -b: reflects over y-axis

• b is a horizontal stretch or compression

• b is a vertical stretch or compression

• -b: reflects over x-axis