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Vector-Valued Function From Components

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The vector-valued function p(t)=⟨x(t),y(t)⟩p(t)=\langle x(t), y(t) \rangle models the position of a particle at time tt. The table below defines the component functions, x(t)x(t) and y(t)y(t). Which of the following is the function p(t)p(t)?

t x(t) y(t)
0 2*0+1 3*0-2
? … …
A

p(t)=⟨2∗(t+1),3∗(t−2)⟩p(t)=\langle 2*(t+1),3*(t-2)\rangle

B

p(t)=⟨2∗t−1,3∗t+2⟩p(t)=\langle 2*t-1,3*t+2\rangle

C

p(t)=⟨2∗t+1,3∗t−2⟩p(t)=\langle 2*t+1,3*t-2\rangle

D

p(t)=⟨3∗t−2,2∗t+1⟩p(t)=\langle 3*t-2,2*t+1\rangle

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