Consider the function f (x) = (x - 5) ^2+2 and g (x) = (x+6) ^2-4

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Mathematics

Ireland Zavala

5 April, 11:23

Consider the function f (x) = (x - 5) ^2+2 and g (x) = (x+6) ^2-4

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Nina Lambert · Answer 1

G (x) = f (x-7) = (x-7) ^2 - 5 f (x) is a parabola with vertex at (0,-5) and axis of symmetry x = 0g (x) is a parabola with vertex at (7,-5) and axis of symmetry x = 7 g (x) is shifted seven units to the right of f (x). g (x) is not shifted above or below f (x).