descibe the graph of y=1/2x-10 -3 compared to the graph of y=1/x

Question

davejavous · Answer

y=1/2x-10 -3 is a little ambiguous.

DO you mean y = 0.5x -13 or y= 1/(2x) -13 ?

3mar · Answer

It will be like that
$$f(x)=\frac{ 1 }{ 2x-10 }-3$$

3mar · Answer

Compared to the parent function
$$f(x)=\frac{ 1 }{ x }$$

3mar · Answer

So that is the shifting roles.

3mar · Answer

$$y=\frac{ 1 }{ ax+b }+c$$

a: responsible for stretching and compression of the graph
b: responsible for shifting horizontally (left and right)
c: responsible for shifting vertically (up and down)

and try this graph.It is cool

davejavous · Answer

I assume that with the level of difficulty, you should have done transformations of graphs? y=1/x is the same as:
$$f(x)=\frac{1}{x}$$
The second line is therefore the following transformation:
$$f(2x-10)−3$$
If you have done transformations of graphs then you should be able to describe each transformation.

3mar · Answer

https://www.desmos.com/calculator/m7zdmpatsz Hope that helps