find the coordinates of the points whose images under the translation (x,y)-->(x-3,y+4) are the followings: a. (0,0), b. (-3,4), c. (-6,-9), d. (7,14), e. (h,k)
a. The image of (0,0) under the translation (x,y) --> (x-3,y+4) would be:
(x-3, y+4)
b. The image of (-3,4) under the translation (x,y) --> (x-3,y+4) would be:
(-3-3, 4+4) = (-6, 8)
c. The image of (-6,-9) under the translation (x,y) --> (x-3,y+4) would be:
(-6-3, -9+4) = (-9, -5)
d. The image of (7,14) under the translation (x,y) --> (x-3,y+4) would be:
(7-3, 14+4) = (4, 18)
e. The image of (h,k) under the translation (x,y) --> (x-3,y+4) would be:
(h-3, k+4)
Remember, these are the coordinates of the translated points.
To find the coordinates of the points after the translation, we will apply the given translation function (x, y) --> (x - 3, y + 4) to each of the given points.
a. (0, 0):
Applying the translation function, we have:
x' = 0 - 3 = -3
y' = 0 + 4 = 4
So, the image of (0, 0) under the given translation is (-3, 4).
b. (-3, 4):
Applying the translation function, we have:
x' = -3 - 3 = -6
y' = 4 + 4 = 8
So, the image of (-3, 4) under the given translation is (-6, 8).
c. (-6, -9):
Applying the translation function, we have:
x' = -6 - 3 = -9
y' = -9 + 4 = -5
So, the image of (-6, -9) under the given translation is (-9, -5).
d. (7, 14):
Applying the translation function, we have:
x' = 7 - 3 = 4
y' = 14 + 4 = 18
So, the image of (7, 14) under the given translation is (4, 18).
e. (h, k):
Applying the translation function, we have:
x' = h - 3
y' = k + 4
So, the image of (h, k) under the given translation is (h - 3, k + 4).
To find the coordinates of the points after the translation, we need to apply the given translation function to each point. The translation function is given as (x, y) --> (x - 3, y + 4).
a. For point a, (0, 0):
Applying the translation function, we get:
x' = 0 - 3 = -3
y' = 0 + 4 = 4
So, the translated point is (-3, 4).
b. For point b, (-3, 4):
Applying the translation function, we get:
x' = -3 - 3 = -6
y' = 4 + 4 = 8
So, the translated point is (-6, 8).
c. For point c, (-6, -9):
Applying the translation function, we get:
x' = -6 - 3 = -9
y' = -9 + 4 = -5
So, the translated point is (-9, -5).
d. For point d, (7, 14):
Applying the translation function, we get:
x' = 7 - 3 = 4
y' = 14 + 4 = 18
So, the translated point is (4, 18).
e. For point (h, k):
Applying the translation function, we get:
x' = h - 3
y' = k + 4
So, the translated point is (h - 3, k + 4).
Is this five different questions or one question with multiple choice?
(x,y) = (0,0) will become
(x',y') =(-3,4) after translation.
Do the others similarly.