Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y= x - 13?
A. It is the graph of y= x translated 13 units up.
OB.
It is the graph of y = x translated 13 units to the right.
C.
It is the graph of y= x translated 13 units to the left.
• D. It is the graph of y = x where the slope is decreased by 13.

Respuesta :

Answer:

D

Step-by-step explanation:

Refer to picture.

When graph of y = x is transformed to y = x - 13,

U can visualise it by drawing the before and after transformed graphs to compare in order to deduce the answer.

From the picture, you will realise that when x is unchanged, I'm this case I'm using points x=0 and x=13, the value of the y coordinate in the transformed graph (y = x-13) actually decreased by 13 units as compared to the original graph of y=x.

Hence the graph actually got translated 13 units in the direction of negative y axis which is option D

Ver imagen lcloudrunners

As per the translation of a graph, the given graph y= x is translated 13 units  to the right.

What is the translation of a graph?

"The translation of a graph is its rigid movement, vertically or horizontally."

The given equation of the graph is: y = x.

The equation of the translated graph is: y = x - 13.

We know, the translation of a graph from y = f(x) to y = f(x - a) is translating the graph to the right by 'a' units.

Therefore, the given graph y= x is translated 13 units to the right.

Learn more about the translation of a graph here: https://brainly.com/question/21280965

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