#15 More Graphing absolute Value using y = a|x - h| + k Due 9/18/20 - James Parson | Library

#15 More Graphing absolute Value using y = a|x-h| + k  Due 9/18/20

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.

Wednesday 9/16

20

Warm-up

Use desmos to create an absolute value function with a vertex of (3,2)

Copy and Paste your function below.

Transformations of the function f(x)=|x|

2

Based on the above examples of vertical shift.
How is the graph of y = |x| + 2 related to the graph of its parent function y = |x|?

F.BF.3

2

Based on the above examples of vertical shift.

How is the graph of y = |x| - 7 related to the graph of its parent function y = |x|?

F.BF.3

2

Based on the above examples of horizontal shift.
How is the graph of y = |x - 8| related to the graph of its parent function y = |x|?

F.BF.3

2

Based on the above examples of horizontal shift.

How is the graph of y = |x+2| related to the graph of its parent function y = |x|?

F.BF.3

2

Based on the above examples of stretch and compression.

How is the graph of y = 2|x | related to the graph of its parent function y = |x|?

F.BF.3

2

Based on the above examples of stretch and compression.

How is the graph of y = ¼|x | related to the graph of its parent function y = |x|?

F.BF.3

5

What is the vertex of the function:

5

Based of the parent function, f(x)=|x|,

is this function stretched or compressed by a factor 3?

5

What is the vertex of the function:

5

Based of the parent function, f(x)=|x|,

is this function stretched or compressed by a factor 5?

5

Use desmos to graph f(x) and g(x)

What is the vertex of g(x)?

5

Describe how g(x) been transformed from the original function f(x)

Thursday 9/17
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.

Warm-up Thursday 9/17

5

Find the vertex of the absolute value function:

F.BF.3

10

Graph the absolute value function:
Be sure to label the vertex from question #14 and use it as the center of your graph.

F.BF.3

Reflection
The graph opens up if a > 0 and opens down when a < 0

2

Based on the above example of reflection.

How does the "v" graph the of y = - 2|x | open?

F.BF.3

2

Based on the above example of reflection.

How does the "v" graph the of y = ½|x | open?

F.BF.3

16

Match each absolute value equation with its graph.

Draggable item		Corresponding Item

16

Match each absolute value equation with its graph.

Draggable item		Corresponding Item

10

Graph the absolute value function:
Be sure to label the vertex and use it as the center of your graph.

F.BF.3

10

Graph the absolute value function:
Be sure to label the vertex and use it as the center of your graph.

F.BF.3

10

Graph the absolute value function:
Be sure to label the vertex and use it as the center of your graph.

F.BF.3

Review

10

Use the graph to create a function with the following features:
1) As x gets smaller; the function approaches negative infinity.
x→ - ∞; f(x)→- ∞
2) As x gets larger; the function approaches negative infinity.
x→ ∞; f(x)→ -∞
3) The graph of the function passes through the x-axis at 4.

2

Is this an open or closed interval?

2

The definition of absolute value is...

5

#15 More Graphing absolute Value using y = a|x - h| + k Due 9/18/20

#15 More Graphing absolute Value using y = a|x - h| + k Due 9/18/20

#15 More Graphing absolute Value using y = a|x-h| + k Due 9/18/20

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.

Wednesday 9/16

Warm-upUse desmos to create an absolute value function with a vertex of (3,2)Copy and Paste your function below.

Warm-up

Transformations of the function f(x)=|x|

Based on the above examples of vertical shift.How is the graph of y = |x| + 2 related to the graph of its parent function y = |x|?

Based on the above examples of vertical shift.

Based on the above examples of vertical shift.How is the graph of y = |x| - 7 related to the graph of its parent function y = |x|?

Based on the above examples of vertical shift.

Based on the above examples of horizontal shift.How is the graph of y = |x - 8| related to the graph of its parent function y = |x|?

Based on the above examples of horizontal shift.

Based on the above examples of horizontal shift.How is the graph of y = |x+2| related to the graph of its parent function y = |x|?

Based on the above examples of horizontal shift.

Based on the above examples of stretch and compression.How is the graph of y = 2|x | related to the graph of its parent function y = |x|?

Based on the above examples of stretch and compression.

Based on the above examples of stretch and compression.How is the graph of y = ¼|x | related to the graph of its parent function y = |x|?

Based on the above examples of stretch and compression.

What is the vertex of the function:

Based of the parent function, f(x)=|x|, is this function stretched or compressed by a factor 3?

What is the vertex of the function:

Based of the parent function, f(x)=|x|,is this function stretched or compressed by a factor 5?

Use desmos to graph f(x) and g(x)What is the vertex of g(x)?

Use desmos to graph f(x) and g(x)

What is the vertex of g(x)?

Describe how g(x) been transformed from the original function f(x)

Describe how g(x) been transformed from the original function f(x)

Thursday 9/17

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.

Warm-up Thursday 9/17

Find the vertex of the absolute value function:

Graph the absolute value function:Be sure to label the vertex from question #14 and use it as the center of your graph.

Reflection

The graph opens up if a > 0 and opens down when a < 0

Based on the above example of reflection.How does the "v" graph the of y = - 2|x | open?

Based on the above example of reflection.

Based on the above example of reflection.How does the "v" graph the of y = ½|x | open?

Based on the above example of reflection.

Match each absolute value equation with its graph.

Match each absolute value equation with its graph.

Graph the absolute value function:Be sure to label the vertex and use it as the center of your graph.

Graph the absolute value function:Be sure to label the vertex and use it as the center of your graph.

Graph the absolute value function:Be sure to label the vertex and use it as the center of your graph.

Review

Use the graph to create a function with the following features:1) As x gets smaller; the function approaches negative infinity. x→ - ∞; f(x)→- ∞2) As x gets larger; the function approaches negative infinity. x→ ∞; f(x)→ -∞3) The graph of the function passes through the x-axis at 4.

Use the graph to create a function with the following features:

1) As x gets smaller; the function approaches negative infinity.

x→ - ∞; f(x)→- ∞

2) As x gets larger; the function approaches negative infinity.

x→ ∞; f(x)→ -∞

3) The graph of the function passes through the x-axis at 4.

Is this an open or closed interval?

The definition of absolute value is...

Simplify:Show your work for credit.

#15 More Graphing absolute Value using y = a|x-h| + k Due 9/18/20

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.

Wednesday 9/16

Warm-upUse desmos to create an absolute value function with a vertex of (3,2)Copy and Paste your function below.

Warm-up

Transformations of the function f(x)=|x|

Based on the above examples of vertical shift.How is the graph of y = |x| + 2 related to the graph of its parent function y = |x|?

Based on the above examples of vertical shift.

Based on the above examples of vertical shift.How is the graph of y = |x| - 7 related to the graph of its parent function y = |x|?

Based on the above examples of vertical shift.

Based on the above examples of horizontal shift.How is the graph of y = |x - 8| related to the graph of its parent function y = |x|?

Based on the above examples of horizontal shift.

Based on the above examples of horizontal shift.How is the graph of y = |x+2| related to the graph of its parent function y = |x|?

Warm-up

Use desmos to create an absolute value function with a vertex of (3,2)

Copy and Paste your function below.

Based on the above examples of vertical shift.
How is the graph of y = |x| + 2 related to the graph of its parent function y = |x|?

Based on the above examples of vertical shift.

How is the graph of y = |x| - 7 related to the graph of its parent function y = |x|?

Based on the above examples of horizontal shift.
How is the graph of y = |x - 8| related to the graph of its parent function y = |x|?

Based on the above examples of horizontal shift.

How is the graph of y = |x+2| related to the graph of its parent function y = |x|?

Based on the above examples of stretch and compression.

How is the graph of y = 2|x | related to the graph of its parent function y = |x|?

Based on the above examples of stretch and compression.

How is the graph of y = ¼|x | related to the graph of its parent function y = |x|?

Based of the parent function, f(x)=|x|,

is this function stretched or compressed by a factor 3?

Based of the parent function, f(x)=|x|,

is this function stretched or compressed by a factor 5?

Use desmos to graph f(x) and g(x)

What is the vertex of g(x)?

Graph the absolute value function:
Be sure to label the vertex from question #14 and use it as the center of your graph.

Based on the above example of reflection.

How does the "v" graph the of y = - 2|x | open?

Based on the above example of reflection.

How does the "v" graph the of y = ½|x | open?

Graph the absolute value function:
Be sure to label the vertex and use it as the center of your graph.

Graph the absolute value function:
Be sure to label the vertex and use it as the center of your graph.

Graph the absolute value function:
Be sure to label the vertex and use it as the center of your graph.

Simplify:

Show your work for credit.

Warm-up

Use desmos to create an absolute value function with a vertex of (3,2)

Copy and Paste your function below.

Based on the above examples of vertical shift.
How is the graph of y = |x| + 2 related to the graph of its parent function y = |x|?

Based on the above examples of vertical shift.

How is the graph of y = |x| - 7 related to the graph of its parent function y = |x|?

Based on the above examples of horizontal shift.
How is the graph of y = |x - 8| related to the graph of its parent function y = |x|?

Based on the above examples of horizontal shift.

How is the graph of y = |x+2| related to the graph of its parent function y = |x|?

Based on the above examples of stretch and compression.

How is the graph of y = 2|x | related to the graph of its parent function y = |x|?

Based on the above examples of stretch and compression.

How is the graph of y = ¼|x | related to the graph of its parent function y = |x|?

Based of the parent function, f(x)=|x|,

is this function stretched or compressed by a factor 3?

Based of the parent function, f(x)=|x|,

is this function stretched or compressed by a factor 5?

Use desmos to graph f(x) and g(x)

What is the vertex of g(x)?

Graph the absolute value function:
Be sure to label the vertex from question #14 and use it as the center of your graph.

Based on the above example of reflection.

How does the "v" graph the of y = - 2|x | open?

Based on the above example of reflection.

How does the "v" graph the of y = ½|x | open?

Graph the absolute value function:
Be sure to label the vertex and use it as the center of your graph.

Graph the absolute value function:
Be sure to label the vertex and use it as the center of your graph.

Graph the absolute value function:
Be sure to label the vertex and use it as the center of your graph.

Simplify:

Show your work for credit.