5. Because we don't have established rules, we have to make our own rules. We know that we have to translate to the left 9 units and down 1 unit. Going to the left 9 units is subtracting 9 from x, so our rule is (x-9). Going down 1 unit is subtracting 1 from y, so our rule is (y-1). A rule to use when you're not sure whether it's x, y, positive or negative is this:
When the problem says,
right: add to x
left: subtract from x
up: add to y
down: subtract from y
Now that we have our rules, we can solve. Substitute our original points into the rules to get our new points.
A: (11, 9) --> after substituting, (11-9), (9-1)
simplify: (2, 8)
B: (11, 3) --> after substituting, (11-9), (3-1)
simplify: (2, 2)
C: (5, 3) --> after substituting, (5-9), (3-1)
simplify: (-4, 2)
D: (5, 9) --> after substituting, (5-9), (9-1)
simplify: (-4, 8)
Final Coordinates:
A'= (2, 8)
B'= (2, 2)
C'= (-4, 2)
D'= (-4, 8)
7. Because there is already a rule that they gave us, we can apply it to each point to find the post image coordinates.
The rules are (x+7) and (y+2).
We can substitute each point's x and y coordinates into the x and y values in the rules.
A: (-5, 1) --> after substituting, (-5+7), (1+2)
simplify: (2, 3)
B: (3, -7) --> after substituting, (3+7), (-7+2)
simplify: (10, -5)
C: (-5, -15) --> after substituting, (-5+7), (-15+2)
simplify: (2, -13)
Final Coordinates:
A'= (2, 3)
B'= (10, -5)
C'= (2, -13)
hope this helped! comment if something doesn't make sense and i'll try to explain as best as i can. have a nice day!
