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Perform the following for the given square root function. Given: A(x)=√x-3 46. Describe the transformation of the function compared to the parent function f(x)=√x. A) A reflection over the x-axis and a vertical stretch by a factor of 3 B) A horizontal shift left 3 C) A horizontal shift right 3

Perform the following for the given square root function. Given: A(x)=√x-3 46. Describe the transformation of the function compared to the parent function f(x)=√x. A) A reflection over the x-axis and a vertical stretch by a factor of 3 B) A horizontal shift left 3 C) A horizontal shift right 3

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter15: Roots
Section: Chapter Questions
Problem 38A
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Perform the following for the given square root function. Given: A(x)=√x-3 46. Describe the transformation of the function compared to the parent function f(x)=√x. A) A reflection over the x-axis and a vertical stretch by a factor of 3 B) A horizontal shift left 3 C) A horizontal shift right 3 D) A vertical shift down 3 E) A vertical shift up 3 47. State the domain. 48. State the range. Choices for 47-48: A) (-∞0, +00) D) [3,+00) AC) (-∞0,-3] 49. Match the function with its graph. (Choices for graph on page 56.) 51. State the domain. 52. State the range. B) [0,+∞0) E) [1, +00) AD) (-∞0,3] Given: D(x) = 2√√x+1+2 50. Describe the transformation of the function compared to the parent function f(x)=√x. A) A vertical stretch by a factor of 2; horizontal shift left 1; vertical shift up 2 B) A vertical stretch by a factor of 2; horizontal shift right 1; vertical shift up 2 C) A vertical shrink by a factor of 2; horizontal shift left 1; vertical shift up 2 D) A vertical shrink by a factor of 2; horizontal shift right 1; vertical shift up 2 E) A vertical stretch by a factor of 2; horizontal shift left 1; vertical shift down 2 Choices for 51-52: A) (-00, +00) E) (-∞0,-1] AE) (-∞, -2] B) [0,+00) AB) [1, +00) BC) [2,+00) C) [-3, +00) AB) (-0,0] C) (-∞0,0] AC) (-∞0,1] BD) (-∞,2] 53. Match the function with its graph. (Choices for graph on page 56.) D) [-1, +00) AD) [-2,+00)
Transcribed Image Text:Perform the following for the given square root function. Given: A(x)=√x-3 46. Describe the transformation of the function compared to the parent function f(x)=√x. A) A reflection over the x-axis and a vertical stretch by a factor of 3 B) A horizontal shift left 3 C) A horizontal shift right 3 D) A vertical shift down 3 E) A vertical shift up 3 47. State the domain. 48. State the range. Choices for 47-48: A) (-∞0, +00) D) [3,+00) AC) (-∞0,-3] 49. Match the function with its graph. (Choices for graph on page 56.) 51. State the domain. 52. State the range. B) [0,+∞0) E) [1, +00) AD) (-∞0,3] Given: D(x) = 2√√x+1+2 50. Describe the transformation of the function compared to the parent function f(x)=√x. A) A vertical stretch by a factor of 2; horizontal shift left 1; vertical shift up 2 B) A vertical stretch by a factor of 2; horizontal shift right 1; vertical shift up 2 C) A vertical shrink by a factor of 2; horizontal shift left 1; vertical shift up 2 D) A vertical shrink by a factor of 2; horizontal shift right 1; vertical shift up 2 E) A vertical stretch by a factor of 2; horizontal shift left 1; vertical shift down 2 Choices for 51-52: A) (-00, +00) E) (-∞0,-1] AE) (-∞, -2] B) [0,+00) AB) [1, +00) BC) [2,+00) C) [-3, +00) AB) (-0,0] C) (-∞0,0] AC) (-∞0,1] BD) (-∞,2] 53. Match the function with its graph. (Choices for graph on page 56.) D) [-1, +00) AD) [-2,+00)
Answer choices for 49 and 53: A) E) 4 $ -5 432-4 2 19 54 2 + -24 €² Ċ 5 + -2 -7 -6 -5 4 -3 -2 -1 -54 2 6 ts 44 34 2 + 34 4 fo the B) D) AB) -7-6 -54-3-2-1 4 + -24 FE* -5 -6 -6-5-4-3-2-1 6 5 4 3 ++ -3 + 5 for र 6 4+ 34 24 -H 24 34 4 -st 14 ng A
Transcribed Image Text:Answer choices for 49 and 53: A) E) 4 $ -5 432-4 2 19 54 2 + -24 €² Ċ 5 + -2 -7 -6 -5 4 -3 -2 -1 -54 2 6 ts 44 34 2 + 34 4 fo the B) D) AB) -7-6 -54-3-2-1 4 + -24 FE* -5 -6 -6-5-4-3-2-1 6 5 4 3 ++ -3 + 5 for र 6 4+ 34 24 -H 24 34 4 -st 14 ng A
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