The function g (x) = - x2 16x - 44 written in vertex form is g (x) = - (x - 8) 2 20. which is one of the transformations applied to the graph of f (x) = x2 to change it into the graph of g (x) = - x2 16x - 44? the graph of f (x) = x2 is widened. the graph of f (x) = x2 is shifted left 8 units. the graph of f (x) = x2 is shifted down 44 units. the graph of f (x) = x2 is reflected over the x-axis.

Question

Mathematics

April Lawrence

24 August, 22:35

The function g (x) = - x2 16x - 44 written in vertex form is g (x) = - (x - 8) 2 20. which is one of the transformations applied to the graph of f (x) = x2 to change it into the graph of g (x) = - x2 16x - 44? the graph of f (x) = x2 is widened. the graph of f (x) = x2 is shifted left 8 units. the graph of f (x) = x2 is shifted down 44 units. the graph of f (x) = x2 is reflected over the x-axis.

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Jakob · Answer 1

G (x) = - (x - 8) ^2 + 20 means that vertex is (8, 20)

Hence, the graph of f (x) = x^2 is refrected over the x-axis, shifted right 8 units and shifted up 20 units.