Question

Describe how to transform the graph of f(x) = x2 to obtain the graph of the related function g(x).

Then draw the graph of g(x).

1. g(x) = f(x + 1)
2. g(x) = f(x) - 2

Please help i also need to graph

Answer 1

9514 1404 393

Answer:

1. left 1 unit
2. down 2 units

Explanation:

The transformation g(x) = f(x -h) +k is a translation of f(x) to the right by h units and up k units.

1. h = -1, so the graph of g(x) is the graph of f(x) shifted left 1 unit. (blue)

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2. k = -2, so the graph of g(x) is the graph of f(x) shifted down 2 units. (green)