Graph y=-3|x|

Problem

y=−3*|x|

Solution

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

2. Determine the transformations applied to the parent function. The coefficient −3 indicates a vertical stretch by a factor of 3 and a reflection across the xaxis.

3. Find the vertex of the graph. Since there are no horizontal or vertical shifts, the vertex remains at (0,0)

4. Calculate additional points to determine the slope of the two rays. For x=1 y=−3*|1|=−3 For x=−1 y=−3*|−1|=−3

5. Plot the vertex (0,0) and the points (1,−3) and (−1,−3) then draw two rays extending downwards from the vertex to form an inverted V-shape.

Final Answer

y=−3*|x|

Want more problems? Check here!