Find a function f(x) such that the parametric curve could be obtained by flipping the graph of f across the line with slope 1 that goes through the origin.
parametric curve with coordinates (t^14, t^7) for t in the interval [−1, 1]
Find a function f(x) such that the parametric curve could be obtained by flipping the graph of f across the line with slope 1 that goes through the origin.
parametric curve with coordinates (t^14, t^7) for t in the interval [−1, 1]
Flipping across the line $y=x$ interchanges the roles of $x$ and $y$, so the resulting parametric curve has coordinates $(t^7,t^{14})$. I expect you can now find the equation $y=f(x)$ of this curve. Hint: $t^{14}=(t^7)^2$. Be sure to specify the possible values of $x$.