QUESTION 2: Choose the correct location of the house after the flood

Question

A flood moves your house exactly 4 blocks to the left and 2 blocks down

What are your new coordinates for the location of the house?

HINT: left and right is x, up and down is y.



Each value must be worked out example below:

(x - 4, y -2)

A.( 2,2) would be A ( 2 - 4, 2-2) the NEW coordinates are ( -2,0)

finish this for each coordinate on paper, then choose the correct answers below




Responses

New coordinates are A( -2,0), B (4, 2), C(0, 2) , D(-2, 3) E( -2, 2)
New coordinates are A( -2,0), B (4, 2), C(0, 2) , D(-2, 3) E( -2, 2) - no response given

New coordinates are A( -2,0), B (1, 2), C(0, 2) , D(-1, 4) E( -2, 2)
New coordinates are A( -2,0), B (1, 2), C(0, 2) , D(-1, 4) E( -2, 2) - no response given

New coordinates are A( -2,0), B (0, 2), C(0, 2) , D(-1, 3) E( -2, 2)
New coordinates are A( -2,0), B (0, 2), C(0, 2) , D(-1, 3) E( -2, 2) - not selected, this is the correct answer

New coordinates are A( -2,0), B (0, 2), C(2, 2) , D(-1, 3) E( 4, 2)
New coordinates are A( -2,0), B (0, 2), C(2, 2) , D(-1, 3) E( 4, 2) - no response given
Question 3
QUESTION 3

Describe Specifically the formal transformation that occured when the flood moved the house.

QUESTION 2: Choose the correct location of the house after the flood



A flood moves your house exactly 4 blocks to the left and 2 blocks down

What are your new coordinates for the location of the house?

HINT: left and right is x, up and down is y.



Each value must be worked out example below:

(x - 4, y -2)

A.( 2,2) would be A ( 2 - 4, 2-2) the NEW coordinates are ( -2,0)

finish this for each coordinate on paper, then choose the correct answers below




Responses

New coordinates are A( -2,0), B (4, 2), C(0, 2) , D(-2, 3) E( -2, 2)
New coordinates are A( -2,0), B (4, 2), C(0, 2) , D(-2, 3) E( -2, 2) - no response given

New coordinates are A( -2,0), B (1, 2), C(0, 2) , D(-1, 4) E( -2, 2)
New coordinates are A( -2,0), B (1, 2), C(0, 2) , D(-1, 4) E( -2, 2) - no response given

New coordinates are A( -2,0), B (0, 2), C(0, 2) , D(-1, 3) E( -2, 2)
New coordinates are A( -2,0), B (0, 2), C(0, 2) , D(-1, 3) E( -2, 2) - not selected, this is the correct answer

New coordinates are A( -2,0), B (0, 2), C(2, 2) , D(-1, 3) E( 4, 2)
New coordinates are A( -2,0), B (0, 2), C(2, 2) , D(-1, 3) E( 4, 2) - no response given
Question 3
QUESTION 3

Describe Specifically the formal transformation that occured when the flood moved the house.

Answer 1

To calculate the new coordinates of the house after the flood, we start with the initial coordinates and apply the transformation based on the given movement:

• The flood moves the house 4 blocks to the left and 2 blocks down.

In terms of coordinates:

• Moving left decreases the x-coordinate (subtracting from x).
• Moving down decreases the y-coordinate (subtracting from y).

Transformation Calculation

1. Let’s take an example coordinate A(2, 2).

   • Apply the transformation:
     New x = 2 - 4 = -2
     New y = 2 - 2 = 0
   • So, A’s new coordinates would be (-2, 0).

2. If we look at coordinate B(4, 2):

   • Apply the transformation:
     New x = 4 - 4 = 0
     New y = 2 - 2 = 0
   • So, B’s new coordinates would be (0, 0).

3. For coordinate C(0, 2):

   • Apply the transformation:
     New x = 0 - 4 = -4
     New y = 2 - 2 = 0
   • So, C’s new coordinates would be (-4, 0).

4. Looking at coordinate D(-2, 3):

   • Apply the transformation:
     New x = -2 - 4 = -6
     New y = 3 - 2 = 1
   • So, D’s new coordinates would be (-6, 1).

5. For coordinate E(-2, 2):

   • Apply the transformation:
     New x = -2 - 4 = -6
     New y = 2 - 2 = 0
   • So, E’s new coordinates would be (-6, 0).

Summary of New Coordinates

• A => (-2, 0)
• B => (0, 0)
• C => (-4, 0)
• D => (-6, 1)
• E => (-6, 0)

Correct Response Based on the Options

Based on the calculated results:

The correct response from the provided options would be: New coordinates are A(-2, 0), B(0, 2), C(0, 2), D(-1, 3), E(-2, 2), but looking closely it seems this answer doesn't match our analysis. If none of the provided answer choices exactly aligns with what we've calculated based on coordinates except for A(-2, 0), this could indicate an error in given options or calculations.

Question 3: Describe the Formal Transformation

The formal transformation that occurred when the flood moved the house can be described as a translation, specifically a translation to the left by 4 units along the x-axis and downward by 2 units along the y-axis.

1. Translation Vector: The transformation can be represented as a vector \( T(x, y) = (x - 4, y - 2) \).
2. Effect: This transformation shifts the original position of each point representing the house’s coordinates by a uniform amount in both the horizontal and vertical directions, resulting in a new coordinate system that reflects the house's new location after the flood.