juliendelgado
contestada

Which answer describes the transformation of g(x)=log2(x−2)+4 from the parent function f(x)=log2x ?

a.) It is the graph of f(x) shifted 2 units left and 4 units down.

b.) It is the graph of f(x) shifted 4 units right and 2 units up.

c.) It is the graph of f(x) shifted 4 units left and 2 units down.

d.) It is the graph of f(x) shifted 2 units right and 4 units up.

Respuesta :

Gotenks99

Option D

for the (x-2) we move to the right 2 and for the +4 we go up 4

MrRoyal

The transformation of g(x)=log2(x−2)+4 is (d) It is the graph of f(x) shifted 2 units right and 4 units up.

How to determine the transformation?

The functions are given as:

  • Transformed function: g(x)=log(x−2)+4
  • Parent function f(x)=log(x)

Translate the parent function 2 units right

This gives

f'(x) = log(x - 2)

Translate the function 4 units up

This gives

f''(x) = log(x - 2) + 4

So, we have:

g(x) = f"(x)

The above means that the transformation of g(x)=log2(x−2)+4 is (d) It is the graph of f(x) shifted 2 units right and 4 units up.

Read more about function transformation at:

https://brainly.com/question/4025726

Otras preguntas