#14 Graphing absolute Value using y = a|x - h| + k Due 9/16/20 - James Parson | Library

#14 Graphing absolute Value using y = a|x-h| + k  Due 9/16/20

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.

Multiple submission allowed.

10

Warm-up
Describe how the absolute value function g(x)=|x - h| + k of is has been translated (moved) compared to the original function f(x)

5

Use desmos to graph both functions and describe how g(x) been changed from the original function: f(x)

10

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

5

Use desmos to graph each function and find its vertex.

5

Use desmos to graph each function and find its vertex.

5

Use desmos to graph each function and find its vertex.

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\|+1
f(x)=\|x-1\|+1

2

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

F.BF.3

2

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

F.BF.3

2

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

F.BF.3

2

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

F.BF.3

Review

6

For what interval of time is the function f(x) increasing?

6

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

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

#14 Graphing absolute Value using y = a|x - h| + k Due 9/16/20

#14 Graphing absolute Value using y = a|x - h| + k Due 9/16/20

#14 Graphing absolute Value using y = a|x-h| + k Due 9/16/20

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.

Multiple submission allowed.

Warm-upDescribe how the absolute value function g(x)=|x - h| + k of is has been translated (moved) compared to the original function f(x)

Warm-up

Use desmos to graph both functions and describe how g(x) been changed from the original function: f(x)

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.

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

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

What is the equation for the translation of y = |x| 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.

Review

For what interval of time is the function f(x) increasing?

For what interval of x is the function f(x) decreasing?

#14 Graphing absolute Value using y = a|x-h| + k Due 9/16/20

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.

Multiple submission allowed.

Warm-upDescribe how the absolute value function g(x)=|x - h| + k of is has been translated (moved) compared to the original function f(x)

Warm-up

Use desmos to graph both functions and describe how g(x) been changed from the original function: f(x)

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.

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

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

What is the equation for the translation of y = |x| 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.

Review

For what interval of time is the function f(x) increasing?

For what interval of x is the function f(x) decreasing?

Warm-up
Describe how the absolute value function g(x)=|x - h| + k of is has been translated (moved) compared to the original function f(x)

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

What is the equation for the translation of y = |x| 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.

Warm-up
Describe how the absolute value function g(x)=|x - h| + k of is has been translated (moved) compared to the original function f(x)

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

What is the equation for the translation of y = |x| 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.