The parametric equations x = t - 4 and y = t 2 - 3t represent a plane curve. Which of the following rectangular equations represents the plane curve?

A.
y = X² - X + 4

B.
y = X² + X - 2

C.
y = X² + 8X + 10

D.
y = X² + 5X + 4

Question

The parametric equations x = t - 4 and y = t 2 - 3t represent a plane curve. Which of the following rectangular equations represents the plane curve?

A.
y = X² - X + 4

B.
y = X² + X - 2

C.
y = X² + 8X + 10

D.
y = X² + 5X + 4

EpicLeo · Answer

I Think That It Could Be Graphed But I Am Not Sure Since I Have Not Yet Had This Math

Narad · Answer

$$x=t-4$$
$$=>   t=x+4$$
$$y=t^{2}-3t$$
$$y=(x+4)^{2}-3(x+4)$$

kekeman · Answer

Hmmmm interesting so option D.)

kekeman · Answer

Simply that to x x^2 +5x+4

kekeman · Answer

Thank you!