What is the image of left bracket, minus, 5, comma, minus, 8, right bracket
(
−
5
,
−
8
)
(−5,−8) after a reflection over the y-axis?
The image of (−5,−8) after a reflection over the y-axis is (5,−8).
What is the image of left bracket, minus, 9, comma, minus, 5, right bracket
(
−
9
,
−
5
)
(−9,−5) after a reflection over the line y, equals, minus, x
�
=
−
�
y=−x?
The image of (−9,−5) after a reflection over the line y = −x is (−5,−9).
What is the image of left bracket, minus, 8, comma, 1, right bracket
(
−
8
,
1
)
(−8,1) after a reflection over the line y, equals, minus, x
�
=
−
�
y=−x?
The image of (−8,1) after a reflection over the line y = −x is (1,−8).
What is the image of the point left bracket, 5, comma, minus, 6, right bracket
(
5
,
−
6
)
(5,−6) after a rotation of 90, degrees
9
0
∘
90
∘
counterclockwise about the origin?
To rotate a point counterclockwise by 90 degrees about the origin, we swap the x and y coordinates and change the sign of the new y coordinate.
So, the image of (5,−6) after a rotation of 90 degrees counterclockwise about the origin is (-6, -5).
What is the image of the point left bracket, minus, 1, comma, 2, right bracket
(−1,2) (−1,2) after a rotation of 270, degrees 270∘ 270∘ counterclockwise about the origin?
To rotate a point counterclockwise by 270 degrees about the origin, we swap the x and y coordinates, change the sign of the new x coordinate, and keep the sign of the new y coordinate.
So, the image of (-1,2) after a rotation of 270 degrees counterclockwise about the origin is (2, 1).
What is the image of the point left bracket, minus, 3, comma, 5, right bracket
(
−
3
,
5
)
(−3,5) after a rotation of 90, degrees
9
0
∘
90
∘
counterclockwise about the origin?