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

1 Answer
Monzur R.
Dec 2, 2016

#sin(x-3.2)#

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(x)#, it will affect the #x#-values and if it appears outside the brackets then it will affect the #y#-values.

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

Related questions
See all questions in Translating Sine and Cosine Functions
Impact of this question
3099 views around the world
You can reuse this answer
Creative Commons License