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nydimaria [60]
3 years ago
10

Complete the sentence

Mathematics
1 answer:
dalvyx [7]3 years ago
5 0

Answer: function notation

Step-by-step explanation:

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Find the image of A (-6, 5) after two reflections, first across the line y = -5, then across the
Stolb23 [73]

Answer:

a. A'(-6,-15)

b. A''(-18,-15)

Step-by-step explanation:

The given point is A(-6,5).

We want to find the image after this point has been reflected in the line y=-5.


Recall that, the mapping for a reflection in the line y=k is


P(x,y)\rightarrow P'(x,2k-y).


This implies that,


A(-6,5)\rightarrow A'(-6,2(-5)-5).


This simplifies to,


A(-6,5)\rightarrow A'(-6,-10-5).


This will finally give us,


A(-6,5)\rightarrow A'(-6,-15).


b. We now apply the second reflection, which is a reflection in the line x=-12.


Recall again that, the reflection in the line x=k has the mapping


P(x,y)\rightarrow P'(2k-x,y).


This implies that,

A'(-6,-15)\rightarrow A''(2(-12)--6,-15).

This implies that,

A'(-6,-15)\rightarrow A''(-24+6,-15).


This will finally give us,


A'(-6,-15)\rightarrow A''(-18,-15).


See graph in attachment.






8 0
4 years ago
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