Find the equation of the resulting curve after the following has been translated through
$$\left(\begin{matrix}2 \ -1\end{matrix}\right)$$

$$y=x^2+4x+5$$

Question

Find the equation of the resulting curve after the following has been translated through
$$\left(\begin{matrix}2 \ -1\end{matrix}\right)$$

$$y=x^2+4x+5$$

anonymous · Answer

2 for y and -1 for x?

anonymous · Answer

No... Um a=2 and b=-1.... Translation

anonymous · Answer

but which of them represents vertical axis?

anonymous · Answer

i mean which of them represents translation along the vertical axis and horizontal axis?

anonymous · Answer

Um. well, 2 goes forward horizontally, and -1 goes down vertically in the transformation.

anonymous · Answer

oh then maybe this 
(x -2)^2 + 4(x-2) + 5 + -1

anonymous · Answer

y = (x -2)^2 + 4(x-2) + 5 -1

anonymous · Answer

That's what I thought... but the answer in my book said x^2 was the answer... so I didn't know..

anonymous · Answer

OH, they just expanded it!

anonymous · Answer

hmm y = x^2 + 4 -4x + 4x -8 + 4

oh okay

anonymous · Answer

Thanks

anonymous · Answer

no problem

anonymous · Answer

2 and -1