Eliminate the parameter and write an equation in rectangular coordinates: x=t - 1, y = t^2 -2t

Question

From these answers

a) y = x^2 -1

b) y = x^2 + 1

c) y = -x^2 -1

d) y = -x^2 + 1

Answer 1

x=t - 1, y = t^2 -2t

t= x+1

y = (x+1)² - 2(x+1)

y = x² + 2x + 1 -2x -2

y = x² -1