Translating across

Algebra Level 2

If the green \color{#20A900} {\text{green}} graph is y=f(x) y = f(x) , what is the equation of the red \color{#D61F06} {\text{red}} graph?

The green \color{#20A900} {\text{green}} graph is translated 1 unit to the right, to obtain the orange\color{#EC7300} {\text{orange}} graph.
The orange\color{#EC7300} {\text{orange}} graph is translated 2 units down, to obtain the red \color{#D61F06} {\text{red}} graph.

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