Question

Pre-calculus question

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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)

Answer 7

Ok, thanks so much!

Answer 8

:)