Which best describes the graph of f(x) = log2(x + 3) + 2 as a transformation of the graph of g(x) = log2x?

3 unit left and 2 unit up.

Step-by-step explanation:

Given : as a transformation of the graph of

To find : Which best describes the graph transformation?

Solution :

The parent function

with the vertex (1,0)

And the graph of  

with the vertex (-2.75,0)

The graph of f(x) is the translation of g(x)

Transformation to the left,

f(x)→f(x+b) , the graph of f(x) is shifted towards left by b unit.

Same as the graph g(x) is shifted towards left by 3 unit and form graph of f(x).

Transformation towards up,

f(x)→f(x)+a , the graph of f(x) is shifted upward by a unit.

Same as the graph g(x) is shifted upward by 2 unit and form graph of f(x).

Therefore, The description of the transformation is 3 unit left and 2 unit up.

Refer the attached graph below.  

x=4y−1

Step-by-step explanation:

Let's solve for x.

−2x+8y=2

Step 1: Add -8y to both sides.

−2x+8y+−8y=2+−8y

−2x=−8y+2

Step 2: Divide both sides by -2.

−2x

−2

=

−8y+2

−2

x=4y−1

(happy to help)