Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x − 8?

A. It is the graph of y = x where the slope is decreased by 8.

B. It is the graph of y = x translated 8 units down.

C. It is the graph of y = x translated 8 units up.

D. It is the graph of y = x translated 8 units to the left.

Respuesta :

Answer: B. It is the graph of y = x translated 8 units down.

Step-by-step explanation:-

The function f(x) after translation of k units to down becomes :

[tex]f(x)-k[/tex]                     (1)

Given : Function : [tex]f(x)=y = x[/tex] is translated to get [tex]y=x-8[/tex]

We can rewrite it as , [tex]y=x-8= f(x)-8[/tex]

i.e. From (1), the graph of y = x translated 8 units down.

Hence, the correct answer is "B. It is the graph of y = x translated 8 units down."

Answer:

B

Step-by-step explanation:

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