The rectangle ABCD shown in the diagram is reflected across the line y = 2. What
are the coordinates of A'?
y
C
B
8
71
6
5
4
3
21
D
A
Х
-9-8-7-6-5-4-3-2-1 | 1 2 3 4 5 6 7 8 9
-21
-3
-4
-51
-6
-7
-81
-9)

Since you haven't attached the diagram here, I'll go over how to do this in general. In order to reflect the rectangle across the horizontal line drawn at y = 2, consider the number of units of each coordinate from this line of reflection. Now count the same number of units on the other side of the line to plot the coordinates of the reflected rectangle. For example, if point A was at (1, 5), the point A' would then be at (1, -1). Notice that the x-coordinate remains the same.

Hope that answers the question, have a great day!

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: