What are the coordinates of the triangle (ABC) when reflected across the y-axis? A. A'(−2, 4), B'(−6, 2), C'(−2, −6)
B. A'(2, 4), B'(6, 2), C'(2, −6)
C. A'(−1, 3), B'(−3, 1), C'(−1, −3)
D. A'(−2, −4), B'(−6, −1), C'(1, 6)

ITs a

Step-by-step explanation:

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  A.  A'(−2, 4), B'(−6, 2), C'(−2, −6)

Step-by-step explanation:

Reflection across the y-axis negates the x-coordinate:

  (x, y) ⇒ (-x, y) . . . . reflection across the y-axis

Looking at the answer choices, we see that they all differ in A', so we can make the appropriate choice just by looking at point A

  A(2, 4) ⇒ A'(-2, 4) . . . . matches choice A

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: