Select the correct answer. Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x - 13?
OA. It is the graph of y = x translated 13 units to the left.
OB.
It is the graph of y = x translated 13 units to the right.
OC.
It is the graph of y = x translated 13 units up.
OD. It is the graph of y = x where the slope is decreased by 13.

The translation corresponds to a translation of 13 units to the right

Step-by-step explanation:

Translation of a Graph

If the graph of

y=f(x) is translated a units horizontally, then the equation of the translated graph is

y =f(x - a)

The value of a is considered positive for translations to the right.

The parent function is

y = x

and the given function is

y = x - 13

The translation corresponds to a translation of 13 units to the right

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8