Answer:
Last option
Step-by-step explanation:
We have the following equations:
[tex]x = t + 4\ ,\ \ y = t ^ 2[/tex]
The parameter that we must eliminate is t.
To eliminate the parameter we must clear t from both equations:
[tex]x = t + 4\\\\x -4 = t[/tex]
[tex]y = t ^ 2\\\\\sqrt{y} = t[/tex]
if [tex]t = \sqrt{y}[/tex] and [tex]t = x-4[/tex]
So:
[tex]\sqrt{y} = x- 4[/tex]
We square both sides of the inequality
[tex]y = (x-4) ^ 2\\\\y = x ^ 2 -8x +16[/tex]