Danielle wants to translate triangle XYZ so that vertex Y is moved from coordinates (- 4,2) to (0,-3). Which of the following mappings can be used to find the new
coordinates of X and Z?
A (x, y)-( * - 4, y + 5)
B (x, y)-(x+4, y - 5)
C(x, y)-(x - 4, y + 3)
D(x, y)-(x + 5, y - 4)

We need to use the mapping to find the new coordinates of X and Y.

Step-by-step explanation:

Vectorially speaking, we must look for the defintion of the translation operation such that vertex Y becomes vertex Y', which is represented by:

(1)

Where is the translation vector.

If we know that and , then the translation vector is:

If , and is the translated vector, then we obtain the following definition:

(2)

The correct answer is B.

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:

i would love   to but there is no graph shown

step-by-step explanation:

i am so sorry