Eliminate the parameter. x = t + 4, y = t²

Solution:

Let us cosider

x = t + 4 as equation 1

and y = t² as equation 2

Expressing t in terms of x from the first equation and substituting in the second equation,

t = 4 - x from equation 1

After substituting in equation 2, we get

y = (4 - x)²

y = 16 + x² - 8x

Hence we obtain y = x² - 8x + 16 after removing parameter t.

Eliminate the parameter. x = t + 4, y = t²

Summary:

Eliminating the parameter x = t + 4, y = t² we have y = x² - 8x + 16