Question

if point d has coordinates (3,5). first reflect point d across the y - axis, then translate point d using the rule (x,y)→(x + 1,y - 6). 5. where is the image located? a. quadrant i b. quadrant ii c. quadrant iii d. on the y - axis section 3: for #6 use the give information to draw the requested point. △pqr p(-3,3) q(-3,-2) r(-1,-2). this triangle is being transformed to make △pqr. see image. 6. if the completed transformation is a reflection, draw r.

Explanation:

Step1: Reflect point \(D(3,5)\) across the \(y\) - axis

When reflecting a point \((x,y)\) across the \(y\) - axis, the rule is \((x,y)\to(-x,y)\).
For point \(D(3,5)\), after reflection across the \(y\) - axis, the new point \(D'\) has coordinates \((- 3,5)\).

Step2: Translate the reflected point \(D'(-3,5)\) using the rule \((x,y)\to(x + 1,y-6)\)

For the \(x\) - coordinate: \(x=-3+1=-2\)
For the \(y\) - coordinate: \(y = 5-6=-1\)
The image of the point after translation is \((-2,-1)\)

Answer:

c. Quadrant III