Absolute Value Functions and Translations

Question 1

The graph shows f(x) = |x – h| + k. What is the value of h?h = 2.5h = –1.5h = 1.5h = –2.5

Revolt · Accepted Answer

h = 1.5

Question 2

Question 75805

Revolt · Accepted Answer

3; 6

Question 3

The vertex of the graph of f(x) = |x – 3| + 6 is located at ([___] , [___] ).

Revolt · Accepted Answer

6

Question 4

(2, 1)✔ (–2, 1)(1, 2)(–1, –2)

Revolt · Accepted Answer

✔ (–2, 1)

Question 5

Which function is represented by the graph?f(x) = |x – 1| + 3f(x) = |x + 1| – 3f(x) = |x – 1| – 3f(x) = |x + 1| + 3

Revolt · Accepted Answer

f(x) = |x – 1| – 3

Question 6

On which interval is the function increasing?(–∞, –4)(–∞, 4)(–4, ∞)(4, ∞)

Revolt · Accepted Answer

(–4, ∞)

Question 7

What are the domain and range of f(x) = |x – 3 | + 6? Domain: {x | x is all real numbers}Range: {y | y ≥ 6}Domain: {x | x ≥ 3}Range: {y | y ≥ 6}Domain: {x | x is all real numbers}Range: {y | y ≥ – 6}Domain: {x | x ≥ 3}Range: {y | y ≥ – 6}

Revolt · Accepted Answer

Domain: {x | x is all real numbers}Range: {y | y ≥ 6}

Question 8

The graph of f(x) = |x| has been translated left 2 units and up 1 unit. If no other transformations of the function have occurred, which point lies on the new graph?(–4, 2)(–3, 1)( –2, 5)( –1, 2)

Revolt · Accepted Answer

( –1, 2)

Question 9

The vertex of the graph of f(x) = |x – 3| + 6 is located at ([___] , [___] ).

Revolt · Accepted Answer

Part 1: 3; Part 2: 6; 3

Absolute Value Functions and Translations Answers

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