stuck-help
  • stuck-help
Find the images vertices for a dilation with center(0,0) and a scale factor of 4.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
stuck-help
  • stuck-help
@malcolmmcswain i dont know how to find vertices can you help
malcolmmcswain
  • malcolmmcswain
This is a tricky one.
malcolmmcswain
  • malcolmmcswain
I know an easy, but complicated way to do this.

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malcolmmcswain
  • malcolmmcswain
Wanna try it?
stuck-help
  • stuck-help
ok lets see if i can follow that way
malcolmmcswain
  • malcolmmcswain
Never mind. I have a waaayyyyy easier way. But before I show you it, I need to explain how it works: Let's start off with this figure here: https://www.desmos.com/calculator/lttgxf6exs
malcolmmcswain
  • malcolmmcswain
Oops sorry wrong link
malcolmmcswain
  • malcolmmcswain
https://www.desmos.com/calculator/ue9blhj06i
malcolmmcswain
  • malcolmmcswain
There's your figure.
malcolmmcswain
  • malcolmmcswain
Now, let's take the point (4,-3)
stuck-help
  • stuck-help
ok
malcolmmcswain
  • malcolmmcswain
And expand it outwards along a line, like this: https://www.desmos.com/calculator/kvjqstpl7y If the take the distance between the point and the origin (0,0) like this: |dw:1447452783330:dw|
malcolmmcswain
  • malcolmmcswain
Are you following?
stuck-help
  • stuck-help
i cant read the drawing
malcolmmcswain
  • malcolmmcswain
It says if the distance between the point and the origin is n, then the translated points distance from the origin will be 4 * n
malcolmmcswain
  • malcolmmcswain
(if we are using a scale factor of 4)
stuck-help
  • stuck-help
ok i got that
malcolmmcswain
  • malcolmmcswain
To find n we need x and y.
stuck-help
  • stuck-help
what is x and y
malcolmmcswain
  • malcolmmcswain
So, if we let theta be the scale factor. The translated point will be: \[((x \times \theta),(y \times \theta)\]
malcolmmcswain
  • malcolmmcswain
So, for a scale factor of 4, we can find each translated vertex with (x*4),(y*4)
stuck-help
  • stuck-help
im confused where do you get x and y
malcolmmcswain
  • malcolmmcswain
x and y are what you use to get coordinates...
stuck-help
  • stuck-help
ok but what are referring to as x and y
malcolmmcswain
  • malcolmmcswain
Ok. Let me help you visualize. Instead of theta, let's use s to represent the scale factor.
stuck-help
  • stuck-help
ok
malcolmmcswain
  • malcolmmcswain
https://www.desmos.com/calculator/vjvbnc5dnv The green points represent the preimage. The blue points represent the dilated image. S represents the scale factor. When we change s, we change the dilation. Play around with it a bit until you understand.
malcolmmcswain
  • malcolmmcswain
So it's just each coordinate times s. Take (4,-3) Translated, it will be (4*s,-3*s)
stuck-help
  • stuck-help
oh ok that made me understand better
malcolmmcswain
  • malcolmmcswain
if s is 4, then (4,-3) will become (16,-12)
malcolmmcswain
  • malcolmmcswain
Get it now?
malcolmmcswain
  • malcolmmcswain
Dismiss always helps me visualize these types of problems.
stuck-help
  • stuck-help
yeah let me try to get the rest
malcolmmcswain
  • malcolmmcswain
So, all you have to do is set the scale factor to 4 and get the coordinates using my handy function.
stuck-help
  • stuck-help
so the rest would be D (-4,16) A(-12,4) and C(8,12)
stuck-help
  • stuck-help
are those my answers ?
malcolmmcswain
  • malcolmmcswain
check with desmos: https://www.desmos.com/calculator/vjvbnc5dnv
malcolmmcswain
  • malcolmmcswain
s is set to 4
stuck-help
  • stuck-help
ok so the dilation image has the coodinates we just found
malcolmmcswain
  • malcolmmcswain
|dw:1447454263438:dw|
malcolmmcswain
  • malcolmmcswain
That's right
stuck-help
  • stuck-help
and those are our answers?

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