I need to know what a corresponding point means or is, in terms of:

Suppose the point P(2,3) is on the function f(x). Find the point that corresponds to P on each function; show or explain how you figured this out.

(a) f (x + 4)
(b) f (x) + 3
(c) -2 f (x)
(d) 1/2 f (x - 5) + 1

Welcome Melkor and well done for posting in the correct place, have you read the rules for homework help?

I can see that you can't even start the first one from what you are saying so I will do that one as a hint/example.

I have done it graphically as this shows what we are trying to achieve - that is move the line f(x+4) to pass through P (can you see it does not at the moment).

You can also calculate the coordinates of the new point C

Can you see how to do that?

 

Thank you so much! this really helps. (and no i have not read the rules, i didn't even know there were any)

11 hours ago, studiot said:

Welcome Melkor and well done for posting in the correct place, have you read the rules for homework help?

I can see that you can't even start the first one from what you are saying so I will do that one as a hint/example.

I have done it graphically as this shows what we are trying to achieve - that is move the line f(x+4) to pass through P (can you see it does not at the moment).

You can also calculate the coordinates of the new point C

Can you see how to do that?

 

But what exactly does a corresponding point mean? and does this mean the answer would be (-2,4)? (i'm sorry and thank you for your help)

(i'm also an idiot and just realized i made a mistake and don't know how to edit my post) but P is actually (2,-3) i didn't even notice i forgot the negative)

Edited August 26, 20187 yr by Melkor

Here, you are told that (2, 3) is a point on the graph of y= f(x).  That, of course, refers to x= 2, y= 3.  A "corresponding point" for, say, f(x+ 3) would be (a, b) such that x+ 3= a and f(x+ 3)= b.