How to graph y = | - 1 4 x - 1 | ?

Question

How to graph       y    =          |      -              1        4            x      -      1      |      ?

sarabol2zsr · Accepted Answer

determining the location of y=0      -          1      4        x    -    1    =    0  then       x    =    -    4  when       x    ≤    -    4              |              -                  1          4                x        -        1            |        =    -          1      4        x    -    1  when       x    &amp;gt;    -    4              |              -                  1          4                x        -        1            |        =          1      4        x    +    1  both lines &#039;ll be draw       y    =    -          1      4        x    -    1  finding y-intercept when x=0      y    =    -    1    then the point to ubicate             (      0      ,      -      1      )      when y=0      x    =    -    4   the point is             (      -      4      ,      0      )      for       y    =          1      4        x    +    1  y-intercept is when x=0      y    =    1                (      0      ,      1      )      x-intercept is when y=0      x    =    -    4               (      -      4      ,      0      )

Lekno2y5t · Accepted Answer

Everything that is a negative number is a positive number according to absolute value.
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.
Additionally, it is possible to divide this function into two (a bit useless for this particular example).

f_{1} : y = - \frac{1}{4} x - 1

for

x \geq 0

f_{2} : y = \frac{1}{4} x + 1

for

x < 0

How to graph y=|-1/4x-1|?

Answered question

Answer & Explanation

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