Which point(s) are on the graph of the following parametric equations?x(t)=2ty(t)=t^2A.) (-4,4)B.) (-2,-4)C.) (0,0)D.) (1,2)E.) (6,9)There should be 3 of these that are right
Accepted Solution
A:
x(t)=2t y(t)=t^2 A) (-4,4), x(t)=2t=-4, t=-2 y(-2)=(-2)²=4 , True
B) (-2,-4) x(t)=2t=-2, t=-1 y(-1)=(-1)²=1 False. we have y=-4
C) (0,0) x(t)=2t=0, t=0 y(0)=(0)²=0 True
D)(1,2) x(t)=2t=1, t=1/2 y(1/2)=(1/2)²=1/4 False. we have y=2