parent function: f(x)=x

transformation: y=f(x+1)

Write the equation of the transformed function
Describe the effect the given transformation will have on the parent function (in words)

Respuesta :

Answer:

  a)  y = x+1

  b)  The transformation shifts the graph 1 unit to the left

Step-by-step explanation:

a) Put (x+1) where (x) is in the function definition:

  y = f(x+1)

  y = x+1

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b) This transformation has the effect of shifting the graph one unit to the left. Any point (x, f(x)) on the original curve, will now be (x-1, f(x)), shifted one unit to the left.