# Graphing problem.

#### njnest214

I have to graph -4/x-4 and then find the domain, range, and if it is a function or not. I know how to do the ones with 1 as the numerator, but not -4. I have to do this by hand by the way. Any help is greatly appreciated!

#### pickslides

MHF Helper
This one? $$\displaystyle y = \frac{-4}{x-4}$$

Yea like that

#### skeeter

MHF Helper
first graph the "parent" $$\displaystyle y = \frac{1}{x-4}$$ ... note that the $$\displaystyle -4$$ factor does two transformations to the parent graph.

1. reflect over the x-axis

2. vertical stretch by a factor of 4.

see the graphs below ...

#### pickslides

MHF Helper
The -4 in the numerator, '-' is a reflection in the x-axis with a dilation factor of 4.

To find the domain and range you need to determine the asymptotes.

This is where the relation is not defined. Do you know how to find that?

Hint: The denominator cannot be zero.

#### njnest214

Ok thanks so much guys..
I got
D: x can't equal 4
R: y can't equal 0
Function

Is that right?

MHF Helper