Question

Molly drew a map of her town. She graphed the point L(−1.75, −3) for the library. The ice cream shop is located at L′, a reflection of L across the x-axis. The fire station is located at L′′, a reflection of L′ across the y-axis. Identify the ordered pair that describes the location of the fire station. Express your answer using decimal notation.

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Answer 1

ANSWER:
(1.75, 3)

First, we have to flip (-1.75,-3) over the x-axis, which’ll leave us with (-1.75,3). Then we flip that point over the y-axis, which gives us (1.75, 3).
Just incase you have trouble doing reflections here’s the rules:

reflections over the x axis: (x,y)—>(x,-y)
reflections over the y-axis: (x,y)—>(-x,y)
reflections across y=x: (x,y)—>(y,x)
reflections across y=-x: (x,y)—>(-y,-x)

Answer 2

(1.75, 3)

Explanation:

Let's find L' first: We are reflecting L over the x axis, it means it stays on the same vertical (x=-1.75) and it's y changes sign, going to (-1,75,3).

This new point gets reflected again, over the y-axis. The horizontal coordinate (y=3) remains the same, and the x coordinate changes sign, going to it's final destination (1,75, 3)