Trying to graph &#x2212;<!-- − --> log 2 </msub> &#x2061;<!-- ⁡ --> x ,

glycleWogry

glycleWogry

Answered question

2022-06-15

Trying to graph log 2 x , log 2 ( x ), and log 2 ( x )
I don't understand which one reflects over the x axis, the y axis?

Answer & Explanation

stigliy0

stigliy0

Beginner2022-06-16Added 21 answers

First sketch the graph of y = log 2 x
Now imagine how you would use this graph to obtain the graph of y = log 2 x. You'd take every point on the graph of y = log 2 x and switch the sign of the y coordinate. This amounts to reflecting the point on the graph of y = log 2 x through the x-axis.
Similar considerations should convince you that the graph of y = log 2 ( x ) is the graph of y = log 2 x reflected through the y-axis.
Note for your third function, you do both reflections.
Manteo2h

Manteo2h

Beginner2022-06-17Added 4 answers

f ( x ) and y = f ( x ) are symmetrical with y-axis.
y = f ( x ) and y = f ( x ) are symmetrical with x-axis.
Then, note that
y = log 2 x y = log 2 x
y = log 2 ( x )
y = log 2 ( x ) y = log 2 ( x ) ,
and that y = log 2 ( x ) and y = log 2 ( x ) are symmetrical with x-axis.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?