Q. 77 - Precalculus Enhanced with Graphing Utilities

Question

Given that the point $(1,2)$ is on the graph of an equation that is symmetric with respect to the origin, what other point is on the graph?

Step-by-Step Solution

Answer

If $(1,2)$ is on the graph, then the point $(-1,-2)$ is also on the graph.

Step 1: Given information

The given point is $\left(1,2\right)$.

Step 2: Determine the other point.

If any point $(x, y)$ which is on the graph that is symmetric about origin, has also $(-x,-y)$ point on the graph.

$\left(1,2\right)\to \left(-1,-2\right)$

Step 3: Write the conclusion

The other point is $\left(-1,-2\right)$.