Answer:
Shopping Mall: (-6,3)
Movie Theater: (-6,0)
Parking Garage: (-6,2)
Beauty Parlor: (-6, -2)
Explanation:
The starting point here is the (0,0), or what would be considered according to the reading the "Town Hall".
The shopping mall is a point at the west (left) of the graph. We can know this because during the reading it is specified that the city center is 6 units east of the movie theater, which is only three units south of the mall. This means that the same distance of x between the Shopping Mall and the line y would be the same as the movie theater to the town hall, adding three units of y: (-6, 3)
Knowing this point, the Parking Garage is easier to find since it is just one unit below the mall. (-6, 2). Only the y value changes.
Knowing where the garage is, the reading says 3 units further down is the Movie Theater —3 units to the south of the shopping mall, and 2 in the same direction of the garage, the red point is marke
d at (6.0).
The Beauty Parlor is the reflection of the parking garage across the x-axis. To find the reflection of a graph point across the x-axis, the formula is: (x, y) → (x, -y). Hence, the garage point, which we said was (-6, 2), becomes (-6, -2). The -6 (x) remains negative, while the 2 changes its sign.
