// HURRY AND ANSWER. I WILL GIVE BRAINLIEST // PRETTY DIFFICULT.
The point (a, b) is the top of a rectangle. After a transformation, it maps to the point (-a, b+3), what type of transformations happened?

a.) reflection over the line y= -1 and translated 3 units left

b.) reflection over the y = 1 and translated 3 units right

c.) reflection over the x-axis and translated 3 units down

d.) reflection over the y-axis and translated 3 units up

Respuesta :

Answer:

d) reflection over the y-axis and translated 3 units up

Step-by-step explanation:

The reflection of the point  across the y-axis (x,y)→ (-x,y)

b changed to b+3 so 3 units up

The type of transformation that happened to the rectangle is a reflection over the y-axis and translated 3 units up. Thus, the correct option is D.

What is transformation?

The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.

Given that point (a,b) is the top of a rectangle. And after the transformation, the point of the rectangle is (-a, b+3). Therefore,

  • (a,b) → Reflected over y-axis → (-a,b)
  • (-a,b) → Translated 3 unit up → (-a, b+3)

Hence, the type of transformation that happened to the rectangle is a reflection over the y-axis and translated 3 units up. Thus, the correct option is D.

Learn more about Transformation:

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