The tip of a metronome travels on a path modeled by the parametric equations x 0 7 sin t and y (1 (0 7 sint)2 a Sketch the graph when 0 deg ( t ( 360 deg Describe the motion b Eliminate the parameter, t, and write a single equation using only x and y Sketch this graph c Compare the two graphs d Rew...

a The tip starts at 0 1 and moves back and forth along a circular arc from 07 0714 to 07 0714 b ...

The tip of a metronome travels on a path modeled by the parametric equations x = 0.7

Question:

The tip of a metronome travels on a path modeled by the parametric equations x = 0.7 sin t and y = (1 - (0.7 sint)2.
a. Sketch the graph when 0° ( t ( 360°. Describe the motion.
b. Eliminate the parameter, t, and write a single equation using only x and y. Sketch this graph.
c. Compare the two graphs.
d. Rewrite the parametric equations so that the graph is reflected across the x-axis.
e. Sketch the graph when 0° ( t ( 720°. What does changing 360° to 720° do?