If the parabola given by the equation x2 = 4(y − 2) is shifted two units to the right, what will the translated equation be?

(x + 2)2 = 4(y − 2)

(x + 2)2 = 4(y − 4)

(2x)2 = 4(y − 2)

(x − 2)2 = 4(y − 2)

Question

If the parabola given by the equation x2 = 4(y − 2) is shifted two units to the right, what will the translated equation be?

    (x + 2)2 = 4(y − 2)

    (x + 2)2 = 4(y − 4)

    (2x)2 = 4(y − 2)

    (x − 2)2 = 4(y − 2)

anonymous · Answer

@perl

anonymous · Answer

@Ashleyisakitty

anonymous · Answer

@AlexandervonHumboldt2

anonymous · Answer

@Michele_Laino

anonymous · Answer

@rational

michele_laino · Answer

please wait

campbell_st · Answer

can you tell me the vertex of the parabola..?

anonymous · Answer

doesn't give me the vertex

campbell_st · Answer

well the equation is in vertex form 

$$(x - h)^2 = 4a(y - k)$$

(h, k) is the vertex. 

so any thoughts on the vertex..?

campbell_st · Answer

p.s.   a is the focal length, so in your question a = 1   but you don't need to know it..

anonymous · Answer

2?

campbell_st · Answer

is that h or k... and you need 2 values for the ordered pair in the vertex

anonymous · Answer

(1,2)

campbell_st · Answer

if that was the case the equation would be

$$(x -1)^2 = 4(y - 2)$$

I think you need to look at it again

anonymous · Answer

so the answer is A

campbell_st · Answer

if that's what you think then select it.... I'm just trying to get you to understand how things are related, and not provide you with answers

anonymous · Answer

I had got a

michele_laino · Answer

I think that the equation of traslation, are:
$$\left\{ \begin{gathered}
  x = X - 2 \hfill \
  y = Y \hfill \ 
\end{gathered}  \right.$$
where X, and Y are the new coordinates, or XOY is the new system of coordinates

campbell_st · Answer

this is really a 3 step process to solving the question

1. identify the current vertex, 

2. plot the new vertex, 

3. substitute the values into the standard form of the equation to get an answer

anonymous · Answer

so ima try to find the vertex again

campbell_st · Answer

that's the 1st step, the vertex of the current equation

campbell_st · Answer

@Michele_Laino I thought giving answers was contrary to Open Study policies... or is that a privilege of of being a "Qualified Helper"?

anonymous · Answer

So the answer is A

campbell_st · Answer

If that's you choice... select it I'm just trying to help improve your understanding...

anonymous · Answer

I got a I hope I dont get the wrong answer

campbell_st · Answer

the equation you are given is already in vertex form 

which is 

$$(x - h)^2 = 4a(y - k)$$

you have 

$$x^2 = 4(y - 2)$$

so you where correct earlier k = 2   what is the value of h..?

anonymous · Answer

2

campbell_st · Answer

no... the standard for is 

$$(x - h)^2~~~~you ~only ~have  ~~x^2~~~~ what ~could ~h ~be?$$

michele_laino · Answer

Please note that I haven't gave the direct answer, and I have no any privilege @campbell_st

anonymous · Answer

so h is 1

campbell_st · Answer

lol...@Michele_Laino so this isn't an answer..?

I think that the equation of traslation, are:
{x=X−2y=Y

where X, and Y are the new coordinates, or XOY is the new system of coordinates

anonymous · Answer

So the answer is D

anonymous · Answer

im kmsl

campbell_st · Answer

if h = 1

it you be 

$$(x - h)^2~~~and~~~(x - 1)^2$$

but you want $$x^2$$

any thoughts

campbell_st · Answer

if that's what you think, then select it

anonymous · Answer

:/

anonymous · Answer

im 100% sure its D

campbell_st · Answer

great then select it... you don't need me to give you the ok

campbell_st · Answer

but my question is... why did you select D

anonymous · Answer

I do need you lol

anonymous · Answer

and it is D