Given $g (x) = e^{x} + 3$ $g(x)=e^x +3$ , how do you describe the transformation?

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Answer 1 · 2017-01-24T08:42:54

$g (x) = e^{x} + 3$ $g(x)=e^x+3$ is a translation of $e^{x}$ $e^x$ by the vector $((0),(3))$

In general

$f(x+a)+b$ is a translation of $f(x)$ by the vector $((-a),(b))$

so $g(x)=e^x+3$ is a translation of $e^x$ by the vector $((0),(3))$

Given g(x)=e^x +3g(x)=ex+3g(x)=e^x +3, how do you describe the transformation?