Question

Help ASAP) Describe the transformation that takes f(x) = x + 1 to g (x) = -x + 4​

Answer 1

Explanation:

`if \: f(x) = x + 1 \iff \: g(x) = - x + 4 \\ the \: transformations \: that \: took \: place \: are : \\ both : \\ translational \: transformation \\ reflectional \: transformation \\ \\ the \: fuction : f(x) = x + 1 \: is \: translated \: \\ \: verticaly \: by : 3 \: in \: the \: positive \: y - axis \: \\ to \: be : g(x) = x + 4\\ \\ while \\ \\ the \: fuction : f( - x) = - x + 1 \: is \: mirrored \: \\ \: verticaly \: by : - x \: in \: the \: positive \: y - axis \: \\ to \: be : g(x) = - x \\ \\ therefore \: both \: transformation \: results \: to : \\ f( x) = x + 1 \iff \: g(x) = - x + 4`

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