What is the image of (-3, -4) when it is rotated + 90 degrees about (0, 0)?
(4, -3)
(4, 3)
(-4, 3)
Answers
Answered by
0
Answer:
Please see below.
Explanation:
When we rotate a point
(
x
,
y
)
clockwise by
90
∘
about the origin, it takes the position
(
y
,
−
x
)
. Hence the figure formed by
B
(
−
2
,
0
)
,
C
(
−
4
,
3
)
,
Z
(
−
3
,
4
)
and
X
(
−
1
,
4
)
, which appears below
graph{((x+4)^2+(y-3)^2-0.02)((x+1)^2+(y-4)^2-0.02)((x+3)^2+(y-4)^2-0.02)((x+2)^2+y^2-0.02)=0 [-10, 10, -5, 5]}
will become
B
'
(
0
,
2
)
,
C
'
(
3
,
4
)
,
Z
'
(
4
,
3
)
and
X
'
(
4
,
1
)
graph{(x^2+(y-2)^2-0.02)((x-3)^2+(y-4)^2-0.02)((x-4)^2+(y-3)^2-0.02)((x-4)^2+(y-1)^2-0.02)=0 [-10, 10, -5, 5]}
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