Question

Graph the parametric curve including an arrow to show the direction of the curve:
x(t) = t^5
y(t) = -t^2

Answer 1

@jim_thompson5910 Do you think you could help me?

Answer 2

First isolate t in x(t) = t^5

Answer 3

\[\Large x = t^5\]


\[\Large \sqrt[5]{x} = t\]


\[\Large t=\sqrt[5]{x}\]

Answer 4

Then plug this into the second equation

\[\Large y = -t^2\]

\[\Large y = -(\sqrt[5]{x})^2\]

\[\Large y = -(x^{1/5})^2\]

\[\Large y = -x^{2/5}\]