# Thread: State the transformation applied to y = log(5,x) for each of the following.

1. ## State the transformation applied to y = log(5,x) for each of the following.

Hi, i need some help to solve this question,
First, what does it mean to "state the transformation"?
Second,can someone solve it and show me how he/she did it?
State the transformation applied to y = log5x for each of the following:
a) y = −log5x

b)y = log5(−x)

c)y = −log5(−x)

Thank very much!

2. ## Re: State the transformation applied to y = log(5,x) for each of the following.

At the beginning of each subsection you draw $\displaystyle y_1=\log_5x$.

a) symmetry relative to x-axis and you get $\displaystyle y=-\log_5x$

b) symmetry y-axis; you get $\displaystyle y=\log_5(-x)$

c) symmetry x-axis (you get $\displaystyle y_2=-\log_5x$), and later symmetry y-axis - you have $\displaystyle y=-\log_5(-x)$

3. ## Re: State the transformation applied to y = log(5,x) for each of the following.

Originally Posted by wolflessalex
Hi, i need some help to solve this question,
First, what does it mean to "state the transformation"?
Second,can someone solve it and show me how he/she did it?
State the transformation applied to y = log5x for each of the following:

a) y = −log5x reflection over the x-axis

b)y = log5(−x) reflection over the y-axis

c)y = −log5(−x) ... you tell me
...

4. ## Re: State the transformation applied to y = log(5,x) for each of the following.

Can you explain me what do you mean by symmetry relative to x-axis?
I mean I just dont get what they want me to do here, draw the graphs?
(i am sorry i ask so many questions, english isnt my first language and i need to relearn math if i plan to get into computer science program in a toronto)

5. ## Re: State the transformation applied to y = log(5,x) for each of the following.

I think that first you must write all transformations and then draw the graphs, but I may misunderstood.

You have drawn a graph: $\displaystyle y=\log_5x$

Now I try to explain "symmetry relative to x-axis":

x-axis is a "mirror" for your graph $\displaystyle y=\log_5x$.

So, after this "symmetry relative to x-axis" each point of the graph $\displaystyle y=\log_5x$ with coordinates (x,y) will have coordinates (x,-y).

For instance: point with coordinates $\displaystyle x=5, \ y=1$ (that point belongs to the graph $\displaystyle y=\log_5x$), after "symmetry" will have coordinates $\displaystyle x=5, \ y=-1$.
Another example: point $\displaystyle (25;2)$ will have coordinates $\displaystyle (25;-2)$ etc,
Point $\displaystyle (1;0)$ after transformation will be the same point. Understand? I cannot explain this problem more clearly