# Corresponding PointWatch

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Thread starter 1 year ago
#1
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
0
1 year ago
#2
(Original post by UlmosSea)
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
These type of function transformations are clearly explained in
https://www.mathsisfun.com/sets/func...ormations.html
and many other places.

Why not have a go at some of the questions, even if you get them wrong. You'll probably get more advice if you show that you've tried and you'll probably learn more as well.
1
1 year ago
#3
(Original post by UlmosSea)
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
The question is really badly phrased and I think would have been clearer if graphs, rather than functions, had been talked about.

The graph y=f(x+4) is a translation by 4 left of the graph of y=f(x). The point (2,3) is on the graph of y=f(x) and, to answer (a), you need to say what it would be translated to on the graph of y=f(x+4).
1
Thread starter 1 year ago
#4
(Original post by RichE)
The question is really badly phrased and I think would have been clearer if graphs, rather than functions, had been talked about.

The graph y=f(x+4) is a translation by 4 left of the graph of y=f(x). The point (2,3) is on the graph of y=f(x) and, to answer (a), you need to say what it would be translated to on the graph of y=f(x+4).
i also agree, i mainly don't understand because of the way it's worded. I've been thinking it might be related to the grapgh (like how you explained the shifting) but i'm not sure what a corresponding point means, so i don't really know if what i'm doing is right. But thank you
0
1 year ago
#5
(Original post by UlmosSea)
i also agree, i mainly don't understand because of the way it's worded. I've been thinking it might be related to the grapgh (like how you explained the shifting) but i'm not sure what a corresponding point means, so i don't really know if what i'm doing is right. But thank you
Just assume f(x) is a quadratic which passes through P and sketch what happens for each of the 4 transformations? It could be anything, you just want to make sure you can picture it.

For c) what is the transformation
-2*f(x)
how would it apply to the quadratic and hence the corresponding P.?
0
1 year ago
#6
(Original post by UlmosSea)
i also agree, i mainly don't understand because of the way it's worded. I've been thinking it might be related to the grapgh (like how you explained the shifting) but i'm not sure what a corresponding point means, so i don't really know if what i'm doing is right. But thank you
Each of the given examples are transformations of the graph y=f(x). On the original graph is the point (2,3), so all you have to do for each part is say where the point (2,3) has been moved to (on the new graph) by the given transformation. What do you think the answer is to (a), given the transformation is "translate 4 to the left"?
0
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