Given the following functions f (x) and g (x), describe the changes (horizontal shifts, vertical shifts, etc.) to the graph of g (x) with respect to the graph of f (x).

F (x) = |x| g (x) = - |x+3| - 2

Question

Mathematics

Alanna Nelson

9 November, 13:56

Given the following functions f (x) and g (x), describe the changes (horizontal shifts, vertical shifts, etc.) to the graph of g (x) with respect to the graph of f (x).

F (x) = |x| g (x) = - |x+3| - 2

+3

Answers (1)

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Onie · Answer 1

Since g (x) = - F (x+3) - 2

if the graph of F (x) is shifted to the left 3 units and reflected around the x axis then shifted 2 units down

or

g (x) = - (F (x+3) + 2)

If the graph of F (x) is shifted to the left 3 units then shifted up 2units then reflected around the x-axis

Given the following functions f (x) and g (x), describe the changes (horizontal shifts, vertical shifts, etc.) to the graph of g (x) with respect to the graph of f (x).F (x) = |x| g (x) = - |x+3| - 2

Given the following functions f (x) and g (x), describe the changes (horizontal shifts, vertical shifts, etc.) to the graph of g (x) with respect to the graph of f (x).

F (x) = |x| g (x) = - |x+3| - 2