Question

Eliminate the parameter, t, in the parametric equations, x = t - 2 and y = 2t2.

y = 2 x^2 + 2
y = 2 x^2 + 4 x + 4
y = 2 x^2 + 8 x + 8
y = 2 x^2 - 2

Answer 1

y = 2x² + 8x + 8

Explanation:

x = t - 2 → t = x + 2

y = 2t²

Substitution:

y = 2(x + 2)²

y = 2(x² + 4x + 4)

y = 2x² + 8x + 8