4.7 Absolute Value Transformations

What is the equation of the absolute value function?

• f(x)= |x + 4|

• f(x)= |x - 4|

• f(x)= |x| + 4

• f(x)= |x| - 4

Tags

CCSS.HSF-IF.C.7D

Which function defines the graph?

• f(x) = |x - 4| + 3

• f(x) = |x - 3| + 4

• f(x) = |-x + 4| + 3

• f(x) = |x + 4| + 3

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph below?

• f(x) = I x + 2 I 
• f(x) = I x + 2 I +2
• f(x) = I x - 2 I +2
• f(x) = I x - 2 I 

Tags

CCSS.HSF-IF.C.7D

Determine the transformation 

• left 3, up 2
• right 3, up 2
• left 3, down 2
• right 3, down 2

Which equation shows a function that is translated left 4 and 7 up?

• y = |x + 4| + 7
• y = (x - 4)² + 7
• y = (x + 7)² - 4
• y = |x + 4| - 7

Identify the equation of the graph.

• y = |x - 1| - 1
• y = |x + 1| - 1
• y = |x - 1| +1
• y = |x + 1| + 1

Tags

CCSS.HSF-IF.C.7D

Identify the equation of the graph.

• y = |x-3|-2
• y = -|x-3|-2
• y = |x+3|-2
• y = |x+3|+2

Tags

CCSS.HSF-IF.C.7D

y = |x| - 7 makes the graph slide . . .

• left 7
• right 7
• up 7
• down 7

What is the vertex of the absolute value function?

• (4, 0)

• (0, 4)

• (-4, 0)

• [0, -4)

Tags

CCSS.HSF-IF.C.7D

• Horizontal stretch by a factor of 2 and move down 3 units.

• Horizontal shrink by a factor of 2 and move up 3 units.

• Vertical stretch by a factor of 2 and move down 3 units.

• Vertical shrink by a factor of 2 and move up 3 units.