+) Thay \(A\left(-1;\dfrac{1}{3}\right)\) vào \(\left(P\right)y=\dfrac{1}{3}x^2:\)
\(\dfrac{1}{3}.\left(-1\right)^2=\dfrac{1}{3}.\)
\(\Leftrightarrow\dfrac{1}{3}=\dfrac{1}{3}\) (luôn đúng).
\(\Rightarrow\) \(A\left(-1;\dfrac{1}{3}\right)\) thuộc \(\left(P\right)y=\dfrac{1}{3}x^2.\)
+) Thay \(\text{}\text{}B\left(-\dfrac{1}{2};\dfrac{1}{6}\right)\) vào \(\left(P\right)y=\dfrac{1}{3}x^2:\)
\(\dfrac{1}{3}.\left(\dfrac{-1}{2}\right)^2=\dfrac{1}{6}.\)\(\Leftrightarrow\dfrac{1}{3}.\dfrac{1}{4}=\dfrac{1}{6}.\)\(\Leftrightarrow\dfrac{1}{12}=\dfrac{1}{6}\) (vô lý).\(\Rightarrow\) \(\text{}\text{}B\left(-\dfrac{1}{2};\dfrac{1}{6}\right)\) không thuộc \(\left(P\right)y=\dfrac{1}{3}x^2.\)