# How do you write an equation for y=sinx translated 3.2 units to the right?

Dec 2, 2016

$\sin \left(x - 3.2\right)$

#### Explanation:

In graph transformation, there are three different transformations: translation, stretching and reflection. A general rule is that if the transformation comes within the brackets of $f \left(x\right)$, it will affect the $x$-values and if it appears outside the brackets then it will affect the $y$-values.

Graph transformations:
$1.$ $f \left(x + a\right)$ translates to the left by $a$ units.
$2.$ $f \left(x\right) + a$ translates the graph up by $a$ units
$3.$ $f \left(k x\right)$ stretches the graph horziontally by ${k}^{- 1}$
$4.$ $k f \left(x\right)$ stretches the graph vertically by $k$
$5.$ $f \left(- x\right)$ reflects the graph in the line $x = 0$
$6.$ $- f \left(x\right)$ reflects the graph in the line $y = 0$