Question

Eliminate the parameter.
x = t + 4, y = t2 (5 points)


y = square root of x + x + 4

y = square root of quantity x minus four

y = x2 + 16

y = x2 - 8x + 16

Answer 1

Answer:

Last option

Step-by-step explanation:

We have the following equations:

$x = t + 4\ ,\ \ y = t ^ 2$

The parameter that we must eliminate is t.

To eliminate the parameter we must clear t from both equations:

$x = t + 4\\\\x -4 = t$

$y = t ^ 2\\\\\sqrt{y} = t$

if  $t = \sqrt{y}$  and $t = x-4$

So:

$\sqrt{y} = x- 4$

We square both sides of the inequality

$y = (x-4) ^ 2\\\\y = x ^ 2 -8x +16$