Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The right arrow symbol used to show the transition from a point to its image after a transformation is not
contained within the Equation Editor. If such a symbol is needed, type "RightArrow." For example: P(0,0)
RightArrow P'(1, 2).
Write a translation rule that maps point D(7, – 3) onto point D' (2, 5).
D + (h,k) → D'
so
(7,-3) + (h,k) → (2,5)
7+h = 2
-3+k = 5
now finish it off
wow this is the first ive seen 19 hours ago cool
D(7, -3) RightArrow D'(2, 5) can be written as:
(x, y) RightArrow (x - 5, y + 8)
Explanation:
To find the translation rule, we need to determine the horizontal and vertical shift required to map point D onto point D'.
The horizontal shift can be found by subtracting the x-coordinate of D' from the x-coordinate of D.
Horizontal shift = 2 - 7 = -5
The vertical shift can be found by subtracting the y-coordinate of D' from the y-coordinate of D.
Vertical shift = 5 - (-3) = 8
Therefore, the translation rule is:
(x, y) RightArrow (x - 5, y + 8)
To find the translation rule that maps point D(7, -3) onto point D'(2, 5), you need to determine how much the x-coordinate and y-coordinate change from D to D'.
Step 1: Find the change in x-coordinates:
To do this, subtract the x-coordinate of D from the x-coordinate of D':
Δx = x-coordinate of D' - x-coordinate of D
= 2 - 7
= -5
Step 2: Find the change in y-coordinates:
To do this, subtract the y-coordinate of D from the y-coordinate of D':
Δy = y-coordinate of D' - y-coordinate of D
= 5 - (-3)
= 5 + 3
= 8
Step 3: Write the translation rule:
The translation rule is written as a function that maps (x, y) coordinates. In this case, the rule is:
(x, y) → (x + Δx, y + Δy)
Substituting the values from Steps 1 and 2, the translation rule for point D(7, -3) onto point D'(2, 5) is:
(x, y) → (x - 5, y + 8)