matrix transformations

[tolga]

Hi i was wondering if you could help me out on these matrix transformation questions

Q)Find the image of the graphs of the following equations under the transformations in i,ii?
-1   0
0   2
 i)



1/2   0
0   -4
ii)

a)y=1/x^2 b) y=x^3-5 c) y=root x
Q) Find the image of the graphs of the following equations under the transformations under i,ii
3
2
 i)

2
-2
 ii)


a)   Y=x^2-3x

[superflya]

rewrite it, not making much sense

[tolga]

Hi i was wondering if you could help me out on these matrix transformation questions

Q)Find the image of the graphs of the following equations under the transformations in i,ii?

a)y=1/x^2  b) y=x^3-5  c) y=root x                         (Note: i),ii) are both 2 times 2 matrixes)

i)
-1   0
0   2

ii)
1/2   0
0   -4


Q) Find the image of the graphs of the following equations under the transformations under i,ii


a)   Y=x^2-3x


i)    3
      2

ii)    2
      -2

[/0]

Just use matrix multiplication for the first question a)

e.g.



Now, with , , solve for x and y:

,

And plug them in to all of those equations to find the images: e.g.





So we say the image equation is


For the second question a), I am assuming they are translations. If so you just add them.



So ,

,

Plugging in:



The image equation is: