The two sets of parametric equations for the rectangular equation are;
- If x=t+6 then y= t²-7t-42.
- If x=7t then y= 49t² - 133t +36.
What are the parametric equations from the rectangular equation?
It follows from the task content that the parametric equations can be determined as follows;
By substituting the x= t+6 into the rectangular equation; we have;
y = (t+6-6)²-7(t+6)
y = t²-7t-42.
By substituting the x= 7t into the rectangular equation; we have;
y = (7t-6)² -7(7t)
y = 49t² - 84t +36 - 49t
y = 49t² - 133t +36.
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