Exam Review - Transformations of Functions

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Shift 3 units right

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Shift 7 units up

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The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)? Options: g(x)=3x², g(x)=-3x², g(x) = x² - 3, g(x) = (x-3)²

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g(x) = x² - 3

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What is the equation of this graph? Options: f(x) = (x + 2)² - 3, f(x) = (x - 2)² - 3, f(x) = |x + 2| - 3, f(x) = |x - 2| - 3

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f(x) = |x + 2| - 3

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g(x)=2x²

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f(x)=3∣x−2∣−2

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Which equation represents this graph? Options: f(x)=(x - 4)² - 3, f(x)=-(x - 4)² + 3, f(x)=(x - 4)² + 3, f(x)=-(x + 4)² + 3

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f(x)=-(x - 4)² + 3

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Transformations of f(x) = (x-3)² + 5 from the original function? Options: Left 3 and up 5, Right 3 and down 5, Left 3 and down 5, Right 3 and up 5

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Right 3 and up 5