Answer:
(3,2)
Step-by-step explanation:
Missing Information:
The coordinate of the grocery store is: (2,5).
Required:
Determine the starting point
Assume the starting coordinate is (x, y)
When a point (x, y) is translated b units left, the image of the translation is: x -> x - b
In this case:
b = 1 (i.e. 1 unit left)
So, we have:
[tex](x-1,y)[/tex]
When a point (x, y) is translated h units up, the image of the translation is: y -> y + h
In this case:
h = 3 (i.e. 3 units up)
So, we have:
[tex](x-5,y+3)[/tex]
So, the expression that describes the grocery store is:
[tex](x-1,y+3) = (2,5)[/tex]
By comparison:
[tex]x-1 = 2[/tex]
[tex]y+3=5[/tex]
Solve for x
[tex]x = 2 + 1[/tex]
[tex]x = 3[/tex]
Solve for y
[tex]y = 5 - 3[/tex]
[tex]y = 2[/tex]
Hence, the starting point is: (3,2)
