Given the parent function of f(x) = x3, what change will occur when the function is changed to f(x − 3)?

shift to the right 3 units
shift to the left 3 units
shift up 3 units
shift down 3 units

Shift to the right 3 units

Step-by-step explanation:

Translations are a type of rigid transformation of functions, in which the position of the graph of a function is modified. The general form of the graph of a function moves up, down, left, or right.

Vertical translations:

Let:

 shifts the graph units up

shifts the graph units down

Horizontal translations:

Let:

shifts the graph units to the left.

shifts the graph units to the right.

Using the previous information we can conclude that the function:

Is a Horizontal translation in which the graph was shifted units to the right.

I leave you the graphs, so you can corroborate the answer easily.

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2