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
Question
Answer:
x(t)=2ty(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
E) (6,9)
(-2,-4)
x(t)=2t=6, t=3
y(3)=(3)²=9 True.
Correct answers is A, C, E.
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9 months ago
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