Question

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)

Answer 1

a) y = x+1

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

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.