Question

In Exercises 1 and 2, graph ACDE and its image after a reflection in the given line.1. C(3, 4), D(2, -1), E(0, -5); y-axis 2. C(1,6), D(12, 2), E(7,-8); x = 8

Answer 1

graph CDE and its image reflection in the given line

C (3,4)

D (2,-1)

E (0,-5)

reflection line: y-axis

If we locate these three points on a graph, we will obtain the following:

now, the reflection points in the y-axis are calculated by multiplying x * -1 ,

for example: the new location for point C is C' = (3*-1 , 4) , therefore, C ' = (-3,4), following the same logic,

D(2,-1) -> D' (-2,-1)

E(0,-5) -> E' (0,-5)

notice that E does not change its location, since it is located on the y-axis, so it doesn't have a relfection.

Now, the graph with the points reflected is the following: