# Points on Graphs of Parametric Equations Exercises

### Example 1

- Determine whether each point is on the graph of the parametric equations

*x*(*t*) = *t*^{3}*y*(*t*) = *t*^{4}

- (8, 16)
- (8, -16)
- (-27, 81)

### Example 2

- Show that the point (5, -6) is on the graph of the parametric equations

*x*(*t*) = *t*^{2} + 1*y*(*t*) = 3*t*

### Example 3

- Show that the point (11, 9) is not on the graph of the parametric equations

*x*(*t*)=* t*^{2} + 1*y*(*t*) = 3*t*