## vera_ewing one year ago Pre-calculus question

1. Michele_Laino

in order to get the symmetric point with respect to the origin you have to apply this transformation: $\begin{gathered} x \to - x \hfill \\ y \to - y \hfill \\ \end{gathered}$

2. vera_ewing

So it would be (-2, -9) ??

3. Michele_Laino

correct! for the symmetric point with respect to $$x-$$axis, we have: $\begin{gathered} x \to x \hfill \\ y \to - y \hfill \\ \end{gathered}$

4. Michele_Laino

finally for symmetric point with respect to $$y-$$axis, we have: $\begin{gathered} x \to - x \hfill \\ y \to y \hfill \\ \end{gathered}$

5. vera_ewing

So the final answer is (-2, 9) ?

6. Michele_Laino

we have three answers: symmetric with respect to the origin: (-2,-9) symmetric with respect to the x-axis: (2,-9) symmetric with respect to y-axis: (-2,9)

7. vera_ewing

Ok, thanks so much!

8. Michele_Laino

:)