Answered

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Which equation transforms y = |x| by reflecting over the x-axis and shifting up 3 units?

Sagot :

Answer:

  • - | x | + 3

Step-by-step explanation:

  • Reflection of a function f(x) over the x-axis results in a function g(x) = - f(x)

    Therefore reflecting y = |x| over the x-axis produces the function
    -|x|
  • Shifting a function f(x) by 3 units will result in another function g(x) = f(x) + 3. Thus shifting |-x| by 3 units gives -|x| + 3
  • Combining the two transformations gives us the resultant transformed equation as
    y' = -|x| + 3

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