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2 October, 03:40

Choose the function that represents the graph of the transformation of f (x) = |x| that opens down and has a vertex of (3,2)

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

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

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

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

+2
Answers (2)
  1. 2 October, 04:50
    0
    f (x) = -|x-3|+2

    Negative before the abs value inverts the graph and it moves right 3 and up 2
  2. 2 October, 05:38
    0
    f (x) = - |x - 3| + 2.

    Step-by-step explanation:

    f (x) = |x| is shaped like a V and the vertex is at (0, 0). f (x) = - |x| is a reflection in the x-axis so will be an inverted V, opening down. f (x) = - |x - 3| will be the - |x| moved 3 units to the right with the vertex at (3, 0). To bring the vertex to (3, 2) it will move upwards 2 units.

    So it is f (x) = - |x - 3| + 2.
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