Ordered-Pair Solutions of Equations

Question

For the following equation, (a) give a table with at least 3 ordered pairs that are solutions, and (b) graph the equation.

 

y = -|x + 4|

 

I have a graph chart to pick from so if someone could just help me with the ordered pairs that would be much appreciated.

Answer 1

Quite often, intercepts (where x=0 or where y=0) are easy to find.  Otherwise, the expression itself may give hints of easy answers.

 

  y = -|x + 4|

 

For x=0,

   y = -|0+4|

   y = -|4|

   y = -4

       The point (0,-4)

 

For y = 0,

   0 = -|0|

   0 = -|-4+4|

   0 = -|x+4|             [note that this is worked backwards]

      so x=-4

        The point (-4,0)

 

Another point,

    -2 = -|2|

    -2 = -|x+4|

    -2 = -|-6+4|

       so x=-6

          The point (-6,0)

 

And still another point,

     -4 = -|4|

     -4 = -|x+4|

     -4 + -|-8+4|

        so x=-8

           The point (-8,-4)

 

Notice that the graph of y=-|x+4| is a "∧" (an upside-down "V") with the point (the x-intercept, the point where y=0) at (-4,0).

Answer 2

For x=-4, y=0

for x=-3, x=-1

for x=-1, y=-3

for x=0, y =-4...fixed, now.

 

Very sorry, Holly...I lost the leading minus sign that applies to the absolute values!