Translating across

Algebra Level 2

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

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

y = f(x + 1) - 2

y = f (x -2) + 1

y = f ( x -2 ) -1

y = f(x-1) - 2

1 solution

Andy Wong
Oct 9, 2015

Horizontal transformations are counter-intuitive when writing the function. In this case, when there is a shift 1 unit to the right, you will have a result of f(x-1). Since there is only one function with this, you can determine that y = f(x-1) - 2 is the answer.

Translating across

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