lalamapa lalamapa
  • 25-04-2022
  • Mathematics
contestada

Which graph represents the parametric equations x(t) = t – 4 and y(t) = t2 + 5 for –1 ≤ t ≤ 2?

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LammettHash
LammettHash LammettHash
  • 25-04-2022

Which graph indeed?

Eliminate the parameter:

x = t - 4   ⇒   t = x + 4

⇒   y = t² + 5 = (x + 4)² + 5

which is the equation of a parabola with vertex at (-4, 5) and opening upwards, plotted with domain

-1 ≤ t ≤ 2   ⇒   -1 ≤ x + 4 ≤ 2   ⇒   -5 ≤ x ≤ -2

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shaunhes shaunhes
  • 10-05-2022

Answer:

it is c

Step-by-step explanation:

Ver imagen shaunhes
Answer Link

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