Question

Find two sets of parametric equations for the rectangular equation. y=(x-6)^2-7x.

Answer 1

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.

Read more on parametric equations from rectangular equations;

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