Question

For the planer curve represented by the parametric equations x = 2t and y = t 2 − 4, what is the rectangular equation of the curve?

x2 + y2 − 16 = 0
x2 − 4y − 16 = 0
4x2 − y − 4 = 0
2y2 − x − 8 = 0

Answer 1

x = 2t--------->t = x/2

y = t² - 4----->y = (x/2)² - 4

y = x²/4 - 4

4y = x² - 16

x² - 4y - 16 = 0