APFIVE Extrema of a Parametric Path
Which of the following is true regarding the horizontal and vertical extrema of the particle’s path given by $$x(t) = t^2 - 4*t + 3$$ and $$y(t) = -t^2 + 4*t + 1$$?
A
The particle attains its horizontal minimum of $$-1$$ and vertical maximum of $$5$$ at $$t=2$$.
B
The particle attains its horizontal minimum of $$-1$$ at $$t=2$$, but the vertical function has no maximum.
C
The particle’s horizontal and vertical extrema occur at different values of $$t$$.
D
The particle attains its horizontal maximum of $$-1$$ and vertical minimum of $$5$$ at $$t=2$$.
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