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Transformations and Symmetry Videos 11 videos
The point (4, -10) is reflected across the line y = x. What are the coordinates of the reflected point?
Rotating the above figure 90° clockwise about the point (2, -5) results in which of the following?
Kendra took the line y = -3x + 2 and shifted it 5 units right and 1 unit up. What is the equation of the resulting line?
TSI Math: Reflecting a Triangle across the y-Axis 10 Views
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Description:
ΔABC has points A (0, 8), B (-3, 7), and C (1, -2). Where are these points after we reflect the triangle across the y-axis?
Transcript
- 00:02
Okay sy mash members Still more of these triangle thing
- 00:05
is alright Well abc has points ah away in the
- 00:08
nick of three seven one Negative too Where are these
- 00:11
points after we reflect the trang gle across the y
- 00:15
axis All right looking good now a track down the
Full Transcript
- 00:21
reflection when the points reflected over the y axis you
- 00:25
know the tall one there it goes from one side
- 00:27
of the access to a point on the other side
- 00:29
just is far away If the points at x equals
- 00:31
negative three Well count over to the y axis One
- 00:34
two three then continue going And other three points one
- 00:36
two three toe add a point two x equals three
- 00:39
they're both three units away from the y axis but
- 00:42
on opposite sides Thank ya know reeves the matrix in
- 00:46
short when appointed reflected across the y axis the sign
- 00:49
of all the x values changes the y values on
- 00:52
the other hand don't change at all The image isn't
- 00:54
moving up and down in any way just side to
- 00:56
side so it's come back to point a in a
- 00:58
minute and i'll start with b and c Well we
- 01:00
already talked about point being negative three seven of it
- 01:03
since exits negative three moves to x equals three and
- 01:06
the y value doesn't change it all That brings us
- 01:08
to be prime there which is three seven right They're
- 01:11
using the same method on seve got one negative to
- 01:14
swap The sign of x x equals one Their tow
- 01:16
x equals negative one And don't touch the y value
- 01:19
at all not even with a ten foot wall So
- 01:21
now we get c prime is negative one negative too
- 01:24
and now look att a You have zero eight leave
- 01:27
Why alone because again there's no up or down movement
- 01:30
there and the sign of the x value hadn't changed
- 01:33
though either because well don't have a sign it Zero
- 01:36
there A prime is actually the same as a so
- 01:38
we have zero comma eight putting it all together The
- 01:41
answer is zero eight and then three seven and then
- 01:44
negative one Negative too so well that's it The the 00:01:48.046 --> [endTime] answer is b We're swamped and reflected
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