1. The problem asks if all parabolas follow the 1-4-9 rule. 2. The 1-4-9 rule is a property related to the distances of points on a parabola from the vertex along the axis of symmetry, specifically for the parabola $y = ax^2$. 3. This rule states that if you take points at distances 1, 2, and 3 units from the vertex along the x-axis, their corresponding y-values will be in the ratio 1:4:9 because $y = a x^2$ means $y$ grows as the square of $x$. 4. However, this rule applies only to parabolas in the form $y = ax^2$ (vertical parabolas centered at the origin). 5. Parabolas that are shifted, rotated, or have different orientations do not necessarily follow this simple 1-4-9 pattern. 6. Therefore, not all parabolas follow the 1-4-9 rule; it is specific to standard form parabolas $y = ax^2$. Final answer: No, only parabolas in the form $y = ax^2$ follow the 1-4-9 rule.