Graph y=-x^3

Problem

y=−x3

Solution

1. Identify the parent function as the cubic function y=x3 which typically passes through (−1,−1) (0,0) and (1,1)

2. Apply the transformation by noting the negative sign in front of the x3 term, which represents a reflection across the xaxis.

3. Determine key points by substituting values for x into the equation y=−x3

4. Calculate points such as (−2,8) (−1,1) (0,0) (1,−1) and (2,−8)

5. Sketch the curve by plotting these points and drawing a smooth, continuous line that decreases from left to right, passing through the origin with a rotational symmetry about (0,0)

Final Answer

y=−x3

Want more problems? Check here!