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

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#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.

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1.

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)

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2.

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

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3.

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

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4.

Use desmos to graph each function and find its vertex.

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5.

Use desmos to graph each function and find its vertex.

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6.

Use desmos to graph each function and find its vertex.

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7.

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

Draggable itemarrow_right_altCorresponding Item

f(x)=|x-2|+1

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

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f(x)=|x+3|- 4

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8.

What is the equation for the translation of y = |x| 8 units down?

You may check your response using Desmos.

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9.

What is the equation for the translation of y = |x| 7 units left?

You may check your response using Desmos.

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10.

What is the equation for the translation of y = |x| 9 units right?

You may check your response using Desmos.

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11.

What is the equation for the translation of y = |x| 9 units up?

You may check your response using Desmos.

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12.

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

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13.

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