# How do you graph #y = | -1/4x -1|#?

##### 2 Answers

graph{abs(-1/4x-1) [-10, 10, -5, 5]}

#### Explanation:

finding the point when y=0

then

when

when

both lines 'll be draw

finding y-intercept when x=0

when y=0

for

y-intercept is when x=0

x-intercept is when y=0

if x=0 then y=1

if x=-4 then y=0

if x=-8 then y=1 (as well)

#### Explanation:

Absolute value mirrors everything that is in negative numbers to the positive numbers.

I simply draw a net. Then put instead of x a number. For example:

x=0 then y=1

if x=-4 the y=0

Now you can draw a line that goes through this two points. The other part will be mirrored just like the right side. Let's see.

Let's put instead of x a number -8. Then y=1 just as for the x=0.

Hope it helps.

There is also a way to split this function into two(a bit useless for this particular example).

Hope it helps