Graph y=1/2|x|

Problem

y=1/2*|x|

Solution

1. Identify the parent function as the absolute value function y=|x| which has a characteristic V-shape with the vertex at the origin (0,0)

2. Determine the transformation, which is a vertical compression by a factor of 1/2 because the coefficient of the absolute value is between 0 and 1

3. Calculate key points by substituting x values into the equation to find corresponding y values.

4. Substitute x=−2 y=1/2*|−2|=1

5. Substitute x=0 y=1/2*|0|=0

6. Substitute x=2 y=1/2*|2|=1

7. Plot the points (−2,1) (0,0) and (2,1) and connect them with two straight rays to form the compressed V-shape.

Final Answer

y=1/2*|x|

Want more problems? Check here!