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

Last option

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\\\\√(y) = t`

if
`t = √(y)` and
`t = x-4`

So:

`√(y) = x- 4`

We square both sides of the inequality

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