(a) Write an equation for a graph obtained by vertically stretching the graph of y = x² by a factor of 5, followed by a vertical upward shift of 2 unit. (b) What is the equation if the order of the transformations (stretching and shifting) in part (a) is interchanged? © y = 5x + 2, yz = 5(x + 2)} Ⓒy₁ = 5x² + 2x, y₂ = 5(x + 2)² © y = 5x? + 2, y, = 5x? + 2 © y = 5x? + 2, y = 5(x? +2)

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(a) Write an equation for a graph obtained by vertically stretching the graph of y = x² by a factor of 5, followed by a vertical upward
shift of 2 unit.
(b) What is the equation if the order of the transformations (stretching and shifting) in part (a) is interchanged?
Oy₁ = 5x² + 2, y₂ = 5(x + 2)²
Oy₁ = 5x² + 2x, y₂ = 5(x + 2)²
© y = 5x + 2, y, = 5x? + 2
Oy₁ = 5x² + 2, y2 = 5(x² + 2)
Transcribed Image Text:(a) Write an equation for a graph obtained by vertically stretching the graph of y = x² by a factor of 5, followed by a vertical upward shift of 2 unit. (b) What is the equation if the order of the transformations (stretching and shifting) in part (a) is interchanged? Oy₁ = 5x² + 2, y₂ = 5(x + 2)² Oy₁ = 5x² + 2x, y₂ = 5(x + 2)² © y = 5x + 2, y, = 5x? + 2 Oy₁ = 5x² + 2, y2 = 5(x² + 2)
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