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If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?

A. g(x) = x + 6
B. g(x) = x
C. g(x) = 6x
D. g(x) = x – 6

Respuesta :

lolaccounts25

Answer:

Even thought i'm 2 years late. Here is the answer for people in the future. It is D. g(x)=x-6 APEX

Step-by-step explanation:

Answer:

Option D is correct

[tex]g(x) = x-6[/tex]

Step-by-step explanation:

Vertically down :

If y =f(x) is a parent function, then the new function g(x) b units  vertically down is, g(x) = f(x) -b.

As per the statement:

Given the parent function:

[tex]f(x) = x[/tex]

To shift linear parent function vertically down 6 units.

By definition we have;

g(x) = f(x) -6

⇒[tex]g(x) = x-6[/tex]

Therefore, the equation of new function g(x) is, [tex]g(x) = x-6[/tex]

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