# Translations of Exponential Functions

Total word count: 270
Pages: 1

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 Which is the graph of g(x) = 2x – 1 + 3? Image A first one Which is the graph of g(x) = (0.5)x + 3 – 4? Image A first one The graph shows that f(x) = 3x is translated horizontally and vertically to create the function g(x) = 3x – h + k. What is the value of h? h=2 The graph shows f(x) = (1/2)x and its translation, g(x). Which describes the translation of f(x) to g(x)? translation of four units up What are the domain, range, and asymptote of h(x) = 6x – 4? domain: {x | x is a real number}; range: {y | y > -4}; asymptote: y = -4 The graphs of f(x) = 5x and its translation, g(x), are shown on the graph. What is the equation of g(x)? g(x) = 5x – 10 The graph shows that f(x) = (1/3)x is translated horizontally and vertically to get the function g(x) = (1/3)x-h + k. What is the value of k? -3 What is the range of f(x) = 3x + 9? {y | y > 9} What is the range of f(x) = (3/4)x – 4? {y | y > -4} What are the domain, range, and asymptote of h(x) = (0.5)x – 9? domain: {x | x is a real number}; range: {y | y > -9}; asymptote: y = -9 f(x) = 7x g(x) = 7x + 6 Which statement about f(x) and its translation, g(x), is true? The asymptote of g(x) is the asymptote of f(x) shifted six units up. What are the domain, range, and asymptote of h(x) = (1.4)x + 5? domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5

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