Question

perform the given transformations on points d and e, and then on their images.
next, reflect points d and e each over the y - axis.
original point image
d (-8,5) d\
e (-5,3) e\

Explanation:

Step1: Recall the rule for reflection over the y - axis

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

Step2: Apply the rule to point \(D'\)

Given \(D'=(-8, - 5)\), using the rule \((x,y)\to(-x,y)\), we substitute \(x=-8\) and \(y = - 5\). Then \(-x=-(-8)=8\). So \(D''=(8,-5)\).

Step3: Apply the rule to point \(E'\)

Given \(E'=(-5,-3)\), using the rule \((x,y)\to(-x,y)\), we substitute \(x = - 5\) and \(y=-3\). Then \(-x=-(-5)=5\). So \(E''=(5,-3)\).

Answer:

\(D''=(8,-5)\), \(E''=(5,-3)\)