1.5 Graphing Absolute Value Using y = a|x-h| + k (Due 10/28/25)

Essential Question: How can you identify the features of the graph of an absolute value function?

Learning Target: Students will be able to graph absolute value function by their features using the standard form: 
y = a|x - h| + k

Show all work.

Required

10

F.BF.3

Required

10

F.BF.3

Required

10

F.BF.3

Required

20

Required

10

Required

10

F.BF.3

Required

10

What is a Vertex

Required

30

Describe in your own words what a vertex is.
_______

How would you find the vertex using its graph?
_______ 

How would you find the vertex using its table?
_______ 


I am not looking for the right answer, I am looking for your answer.

Required

10

What is the vertex of g(x). Remember to use an ordered pair (x,y) to describe it.

Required

5

Use desmos to graph each function and find its vertex.

Required

5

Use desmos to graph each function and find its vertex.

Required

5

Use desmos to graph each function and find its vertex.

Required

2

What is the equation for the translation of y = |x| that shows it moved 8 units down?
You may check your response using Desmos.

F.BF.3

Required

2

What is the equation for the translation of y = |x|that shows it moved 7 units left?
You may check your response using Desmos.

F.BF.3

Required

2

What is the equation for the translation of y = |x| 9 units right?
You may check your response using Desmos.

F.BF.3

Required

2

What is the equation for the translation of y = |x| 9 units up?
You may check your response using Desmos.

F.BF.3

Graphing Absolute Value Functions

Required

10

Graph the absolute value function:

F.BF.3

Required

10

Graph the absolute value function:

F.BF.3

Required

10

Graph the absolute value function:

F.BF.3

Day 2 10/28/25

Required

4

Using the form y=a|x+h|+k to graph absolute values, answer questions about the key features of this absolute value equation:

y=|x|

The vertex is shifted horizontally __________ spaces to the__________ and is shifted vertically __________ spaces__________.

Required

4

Using the form y=a|x+h|+k to graph absolute values, answer questions about the key features of this absolute value equation:

y=|x|+1

The vertex is shifted horizontally __________ spaces to the__________ and is shifted vertically __________ spaces__________.

Required

4

Using the form y=a|x+h|+k to graph absolute values, answer questions about the key features of this absolute value equation:

y=|x-3|+1

The vertex is shifted horizontally __________ spaces to the__________ and is shifted vertically __________ spaces__________.

Required

4

Using the form y=a|x+h|+k to graph absolute values, answer questions about the key features of this absolute value equation:

y=|x+5|+2

The vertex is shifted horizontally __________ spaces to the__________ and is shifted vertically __________ spaces__________.

Required

4

Using the form y=a|x+h|+k to graph absolute values, answer questions about the key features of this absolute value equation:

y=|x-4|-3

The vertex is shifted horizontally __________ spaces to the__________ and is shifted vertically __________ spaces__________.

Required

4

Using the form y=a|x+h|+k to graph absolute values, answer questions about the key features of this absolute value equation:

y=|x+2|

The vertex is shifted horizontally __________ spaces to the__________ and is shifted vertically __________ spaces__________.

Required

6

Match the absolute value function to its graph using its vertex.

Draggable item		Corresponding Item
f(x)=\|x+3\|- 4
f(x)=\|x - 2\|
f(x)=\|x - 1\|+1

Learning Log

Required

5

Required

5

Required

5

Required

10

Draggable item		Corresponding Item
f(x)=\|x+3\|- 4
f(x)=\|x - 2\|
f(x)=\|x - 1\|+1

Draggable item		Corresponding Item
f(x)=\|x+3\|- 4
f(x)=\|x - 2\|
f(x)=\|x - 1\|+1

1.5 Graphing Absolute Value Using y = a|x-h| + k (Due 10/28/25)

Essential Question: How can you identify the features of the graph of an absolute value function?

Learning Target: Students will be able to graph absolute value function by their features using the standard form:

y = a|x - h| + k

Show all work.

What is a Vertex

What is the vertex of g(x). Remember to use an ordered pair (x,y) to describe it.

What is the vertex of g(x). Remember to use an ordered pair (x,y) to describe it.

Use desmos to graph each function and find its vertex.

Use desmos to graph each function and find its vertex.

Use desmos to graph each function and find its vertex.

What is the equation for the translation of y = |x| that shows it moved 8 units down?You may check your response using Desmos.

What is the equation for the translation of y = |x|that shows it moved 7 units left?You may check your response using Desmos.

What is the equation for the translation of y = |x| 9 units right?You may check your response using Desmos.

What is the equation for the translation of y = |x| 9 units up?You may check your response using Desmos.

Graphing Absolute Value Functions

Graph the absolute value function:

Graph the absolute value function:

Graph the absolute value function:

Day 2 10/28/25

Match the absolute value function to its graph using its vertex.

Learning Log

Essential Question: How can you identify the features of the graph of an absolute value function?

Learning Target: Students will be able to graph absolute value function by their features using the standard form:

y = a|x - h| + k

Show all work.

Intro to Graphing Absolute Value functions

Graph the absolute value function:

Graph the absolute value function:

Graph the absolute value function:

Graph both functions and describe how g(x) been changed from the original function: f(x)I am not looking for the right answer, I am looking for your answer.

Describe how the absolute value function g(x) of is has been translated (moved) compared to the original function f(x)I am not looking for the right answer, I am looking for your answer.

Graph the absolute value function:

How is the graph of y=|2x| different from the graph of y=|x|?I am not looking for the right answer, I am looking for your answer.

What is a Vertex

What is the vertex of g(x). Remember to use an ordered pair (x,y) to describe it.

What is the vertex of g(x). Remember to use an ordered pair (x,y) to describe it.

Use desmos to graph each function and find its vertex.

Use desmos to graph each function and find its vertex.

Use desmos to graph each function and find its vertex.

What is the equation for the translation of y = |x| that shows it moved 8 units down?You may check your response using Desmos.

What is the equation for the translation of y = |x|that shows it moved 7 units left?You may check your response using Desmos.

What is the equation for the translation of y = |x| 9 units right?You may check your response using Desmos.

What is the equation for the translation of y = |x| 9 units up?You may check your response using Desmos.

Graphing Absolute Value Functions

Graph the absolute value function:

Graph the absolute value function:

Graph the absolute value function:

Day 2 10/28/25

Match the absolute value function to its graph using its vertex.

Learning Log

Intro to Graphing Absolute Value functions

Graph the absolute value function:

Graph the absolute value function:

Graph the absolute value function:

Graph both functions and describe how g(x) been changed from the original function: f(x)I am not looking for the right answer, I am looking for your answer.

Describe how the absolute value function g(x) of is has been translated (moved) compared to the original function f(x)I am not looking for the right answer, I am looking for your answer.

Graph the absolute value function:

How is the graph of y=|2x| different from the graph of y=|x|?I am not looking for the right answer, I am looking for your answer.

What is the equation for the translation of y = |x| that shows it moved 8 units down?
You may check your response using Desmos.

What is the equation for the translation of y = |x|that shows it moved 7 units left?
You may check your response using Desmos.

What is the equation for the translation of y = |x| 9 units right?
You may check your response using Desmos.

What is the equation for the translation of y = |x| 9 units up?
You may check your response using Desmos.

Graph both functions and describe how g(x) been changed from the original function: f(x)

I am not looking for the right answer, I am looking for your answer.

Describe how the absolute value function g(x) of is has been translated (moved) compared to the original function f(x)

I am not looking for the right answer, I am looking for your answer.

How is the graph of y=|2x| different from the graph of y=|x|?

I am not looking for the right answer, I am looking for your answer.

What is the equation for the translation of y = |x| that shows it moved 8 units down?
You may check your response using Desmos.

What is the equation for the translation of y = |x|that shows it moved 7 units left?
You may check your response using Desmos.

What is the equation for the translation of y = |x| 9 units right?
You may check your response using Desmos.

What is the equation for the translation of y = |x| 9 units up?
You may check your response using Desmos.

Graph both functions and describe how g(x) been changed from the original function: f(x)

I am not looking for the right answer, I am looking for your answer.

Describe how the absolute value function g(x) of is has been translated (moved) compared to the original function f(x)

I am not looking for the right answer, I am looking for your answer.

How is the graph of y=|2x| different from the graph of y=|x|?

I am not looking for the right answer, I am looking for your answer.