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Which best describes the graph of
f(x) = log2(x + 3) + 2 as a transformation of the
graph of g(x) = log2x?
O
O
o
o
a translation 3 units right and 2 units up
a translation 3 units left and 2 units up
a translation 3 units up and 2 units right
a translation 3 units up and 2 units left

Respuesta :

Answer:

Step-by-step explanation:

A translation 3 units left and 2 units up

vijayhalder031

A translation 3 units left and 2 units up best describes the graph of  f(x) = log2(x + 3) + 2 as a transformation of the graph of g(x) = log2x

How to solve this problem?

  • f(x) = log2(x + 3) + 2 (given)
  • g(x) = log2x (given)
  • We need to describe the best statement for the graph
  • The graph is shown in the image

The following steps are shown to describe the graph.

The general equation of f(x) = log2(x-h)+k

  • When h > 0 (positive)

The graph of the base of the function shift to the right

  • When  h < 0 (Negative)

The graph of the base function shifts to the left.

  • When k > 0 (Positive)

The graph of the base function shifts upward.

  • When k < 0 (Negative)

 The graph of the base function shifts downward

Here h = 3 , k = 2

Hence , a translation 3 units left and 2 units up describes the graph.

Learn more about Translating the logarithm function more

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