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problem 2 points d and e are plotted on the coordinate plane. plot the …

Question

problem 2
points d and e are plotted on the coordinate plane.
plot the coordinates of points d and e after a reflection over the y - axis.
then enter the coordinates in the table.

pointcoordinates
e

Explanation:

Step1: Find coordinates of D and E

From the graph, point \( D \) is at \( (-3, 3) \) (since it's 3 units left of y - axis and 3 units up), and point \( E \) is at \( (5, 0) \) (5 units right of y - axis, on x - axis).

Step2: Apply reflection over y - axis rule

The rule for reflection over the \( y \) - axis is \( (x,y)\to(-x,y) \).

For point \( D(-3,3) \):
Applying the rule, \( x=-3\to -(-3) = 3 \), \( y = 3 \). So \( D'=(3,3) \).

For point \( E(5,0) \):
Applying the rule, \( x = 5\to-5 \), \( y=0 \). So \( E'=(-5,0) \).

Answer:

PointCoordinates
\( E' \)\( (-5, 0) \)