Transformation of absolute value functions

Describe the transformation of the equation below from the parent function of y = IxI
y = I x + 2 I - 5

• Left 2 up 5
• Right 2 up 5
• Left 2 down 5
• Right 2 down 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts up 4 units
• Stretches more narrow, shifts down 4 units
• Compresses wider, shifts up 4 units
• Compresses wider, shifts down 4 units

Tags

CCSS.HSF.BF.B.3

What is the equation of the graph below? You can click the picture to zoom in!

• $y=-\left|x+2\right|+4$

• $y=-\left|x-2\right|+4$

• $y=\left|x+2\right|+4$

• $y=-\left|x+2\right|-4$

What is the DOMAIN of this graph?

• -4 ≤ x ≤ 3

• -1 ≤ x ≤ 4

• 4 < x < 3

• -1 < x < 4

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Describe the transformation of the function 

 $g\left(x\right)=\left|\frac{1}{3}x\right|-5$  from the parent function f(x) =|x|.

• Horizontally compressed by a factor of 1/3 and shifted down 5 units.

• Horizontally stretch by a factor of 3 and shifted down 5 units.

• Verically stretch by a factor of 3 and shifted down 5 units.

• Vertically stretch by a factor of 3 and shifted down 5 units.