Please help Transformations on a Map

Use the map of the United States and your centimeter cube to do the following transformations. Pay attention to which axis for reflections.

1. Start in Hawaii on the black-dot.

a. Reflect over the y-axis. Color this square blue. What ocean are you
in?

b. Go back to Hawaii. Now, reflect over the x-axis. Color this square green. What states are you in?

2. Start in Georgia on the black-dot.

a. Reflect over the x-axis. Color this square yellow. What states are you
touching?

b. Go back to Georgia. Now, reflect over the y-axis. Color this square black. What state are you in?

3. Start in Ohio on the square that says Ohio.
Describe a translation that would get you to Montana.

4. Start in Louisiana on the black dot. Rotate 90 degrees counter clockwise. Name a state in the quadrant you land in. (Can you name its capital??)

5. Start in New York on the black dot. Translate left 4 and down 3. Then reflect the cube over the x-axis. Color this square purple. What state are you in?

6. Start in south Dakota on the black dot .

a. Reflect over the x-axis. Color this square orange. What state are
you in?

b. Then reflect your cube over the y-axis. What quadrant are you in?

7. Start in Kansas on the black dot. Reflect over the y-axis and then translate your cube 6 right and 2 up. Color the square pink. What state are you in?

8. Start in New Hampshire on the black dot. Describe a way you could get to any square in the state of Texas. You may need to use more than one transformation to do this.

9. Start in Idaho on the black dot. Translate 6 right and 3 down. Now, reflect your cube over the y-axis. Color the square red. What state are you in?

Then describe the translation that would get you back to Ohio.

10. Start in Mississippi on the black dot. Rotate 90 degrees clockwise. What quadrant are you in?

BONUS: Start in North Carolina on the black dot. Reflect over the y-
axis. Translate 5 up and 4 right. Reflect over the y-axis. Translate 4 down. Rotate 180 degrees counterclockwise. Shade the box.

1a.) atlantic

1b.) california

2a.) Tennesee and north carolina

2b.) new mexico

3a.)  Add three and reflect accross the x axis

4.) texas (austin), quadrant 3

5.) alabama

6a.)  texas

6b.) quadrant 4

7.) penslyvannia

8.) reflect accross x and y axis (or rotate clockwise by 180 degrees) then go 8 right and up 3

9.) missouri

9b.) up 1 and right 3

10.) quadrant 3

bonus.) i colored it gray and it's in wisconsin

Step-by-step explanation:

1a.) to reflect over the y axis you keep the y axis but swap the x to a negative

1b.) to reflect over the x axis you keep the x value the same but y's sign is swapped

2a.) I've already explained how to reflect something over the x axis

2b.) I've already explained how to reflect something over the y axis

3a.) ohio lies around (5,3) and montana is around (-5,6)  so to get their just go up (or north?) three and reflect accross the y axis

4.) louisana is around (2,-3) and to rotate 90 degrees clockwise  would make the coordinates (-3, -2) which puts you around Texas

5.) new york's coordinates are around (8,5) to go left 4 and down three puts you at (4,2) to reflect it over the x axis gives you the coordinates (4,-2) which is in alabama

6a.) south dakota is around (-2,5) and to reflect it over the x axis gives you (-2,-5) which is texas

6b.) To reflect (-2,-5) over the y axis gives you (2,-5) which is gives you the fourth quadrant

7.) Kansas is around (-1,2) and to reflect over the y-axis gives you (1,2) and to go 6 right and 2 up gives you (7,4)

8.) new hampshiere is around (9, 6) and to get to texas which is around (-1,-3) so let's flip accross the x and y axis to get (-9,-6), then go 8 right and up 3

9.) idaho is around (-8,5) and to get 6 right gets you (-2,2) and to reflect over the y axis gives us (2,2) which is missouri and to get to ohio would require us to to get to (5,3) which would require us to go up 1 and right 3

10.) mississippi is around (3,-2) and to rotate 90 degrees clockwise puts us at (-2,-3) or (y,-x) which is quadrant 3

bonus.) north carolina is around (7,1), to reflect over the y axis puts us at (-7,1), to go up 5 and 4 right puts us at (-2,5) and to rotate 180 degrees clockwise gives us (2,-5)

hope this helps you out good luck

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d