If f (x) = x2, which of the following describes the graph of f (x) - 5? A) The graph of f (x) - 5 is a vertical shift of f (x) = x2 five units up. B) The graph of f (x) - 5 is a vertical shift of f (x) = x2 five units down. C) The graph of f (x) - 5 is a horizontal shift of f (x) = x2 five units to the right. D) The graph of f (x) - 5 is a horizontal shift of f (x) = x2 five units to the left.

Question

Mikaela Dudley

Mathematics

18 November, 06:30

If f (x) = x2, which of the following describes the graph of f (x) - 5? A) The graph of f (x) - 5 is a vertical shift of f (x) = x2 five units up. B) The graph of f (x) - 5 is a vertical shift of f (x) = x2 five units down. C) The graph of f (x) - 5 is a horizontal shift of f (x) = x2 five units to the right. D) The graph of f (x) - 5 is a horizontal shift of f (x) = x2 five units to the left.

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Answers (1)

Know the Answer?

Patrick Wong · Answer 1

F (x) = x^2 is a parabola with vertex at the origin (0,0).

f (x) = x^2 - 5 is a parabola shifted down 5 units so it's vertex would be at (0, - 5)

The correct answer is Letter B