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# Points, Vectors, and Functions

# Points on Graphs of Parametric Equations Exercises

### Example 1

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

x = t^{3}

y = 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^{2} + 1

y = 3t

### Example 3

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

x = t^{2} + 1

y = 3t