) Coordinate point B is at (4,3). What will the coordinates be for B' after a translation of (x-2,y+3)?
*
B' (5,4)
B' (2,6)
B' (6,2)
B' (-2,3)
What is the coordinate for G(3,-2) after it is reflected across the x-axis?
*
(2,3)
(-2,3)
(3,2)
(-3,-3)
What is the translation rule that describes the result of the composition of
(x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5)?
*
(x, y) --> (x-1, y-6)
(x, y) --> (x+1, y-3)
(x, y) --> (x+9, y+6)
(x, y) --> (x+1, y+6)
) Coordinate point B is at (4,3). What will the coordinates be for B' after a translation of (x-2,y+3)?
4-2 = 2
3+3 = 6
so
(2,6)
*
B' (5,4)
B' (2,6) <---------------------------
B' (6,2)
B' (-2,3)
What is the coordinate for G(3,-2) after it is reflected across the x-axis?
*
3 is unchanged
-2 becomes +2
so
(3 , 2)
(2,3)
(-2,3)
(3,2) <-------------------------
(-3,-3)
What is the translation rule that describes the result of the composition of
(x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5)?
*
+4 - 5 is -1 and - 1 - 5 = -6
(x, y) --> (x-1, y-6) <--------------------------
(x, y) --> (x+1, y-3)
(x, y) --> (x+9, y+6)
(x, y) --> (x+1, y+6)
For the first question about the coordinates of B' after a translation of (x-2, y+3), we need to apply the translation to the coordinates of B.
B = (4,3)
To translate B by (x-2, y+3), we add the corresponding values to the coordinates:
B' = (4 + (x-2), 3 + (y+3))
Simplifying the expression:
B' = (x + 2, y + 6)
So the coordinates for B' after the translation are: B' (x + 2, y + 6).
For the second question about the coordinates of G after being reflected across the x-axis, we need to change the y-coordinate of G to its negation.
G = (3, -2)
Reflected across the x-axis, the y-coordinate becomes its negation:
G' = (3, -(-2))
Simplifying the expression:
G' = (3, 2)
So the coordinates for G' after reflection across the x-axis are: G' (3, 2).
For the third question about the translation rule that describes the result of the composition of (x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5), we need to perform the compositions of the given translations.
First, we apply the first translation:
(x, y) --> (x+4, y-1)
Next, we apply the second translation:
(x+4, y-1) --> (x+4-5, y-1-5)
Simplifying the expression:
(x, y) --> (x-1, y-6)
So the translation rule that describes the composition of the two translations is: (x, y) --> (x-1, y-6).
I hope this helps! Let me know if you have any further questions.
To find the new coordinates of point B' after a translation of (x-2,y+3), you add or subtract the corresponding values from the original coordinates of point B.
Original coordinates of B: (4,3)
Translation rule: (x-2, y+3)
To find the new x-coordinate of B', subtract 2 from the original x-coordinate of B:
New x-coordinate of B' = 4 - 2 = 2
To find the new y-coordinate of B', add 3 to the original y-coordinate of B:
New y-coordinate of B' = 3 + 3 = 6
Therefore, the coordinates for B' after the translation will be (2,6).
For the second question, to reflect a point across the x-axis, you keep the x-coordinate the same but change the sign of the y-coordinate:
Original coordinates of G: (3,-2)
After reflecting G across the x-axis, the new coordinates will be (3, -(-2)) = (3, 2).
Therefore, the coordinate for G after it is reflected across the x-axis is (3, 2).
For the third question, to find the translation rule that describes the composition of (x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5), you need to combine the two translation rules into one.
First translation rule: (x, y) --> (x+4, y-1)
Second translation rule: (x, y) --> (x-5, y-5)
To combine these two rules, you add the x-translations and the y-translations:
New x-translation = (4 + -5) = -1
New y-translation = (-1 + -5) = -6
Therefore, the translation rule that describes the composition of the two given rules is (x, y) --> (x-1, y-6).