Posted by **Modulus Function** on Saturday, March 30, 2013 at 10:52am.

The graph of y=|2x+c| passes through the points (1,2) and (0,4) . Find the value of the constant c . Sketch the graph of y=|2x+c| .

- math -
**Reiny**, Saturday, March 30, 2013 at 11:21am
from

|2x+c| = y

for the point (1,2)

|2+c| = 2

2+c=2 or -2-c = 2

c = 0 or c = -4

for the point (0,4)

|c| = 4

c = 4 or c = -4

the common solution is c = -4

sketch y = 2x - 4 and y = -2x + 4 and use only the part that lies above the x-axis.

the graph will be in the shape of a V with the "vertex" on the x-axis at (2,0)

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