Question

The figure below is reflected over x axis and then translated down 2 units. What are the coordinates of the image of point c after these transformations

Answer 1

Given:

The figure below is reflected over the x-axis and then translated down 2 units.

We will find the image of the point C after these transformations

As shown, the coordinates of the point C = (-9, 5)

First, we will find the image after a reflection over the x-axis

the rule will be:

$(x,y)\rightarrow(x,-y)$

So, the coordinates of the image will be:

$C\colon(-9,5)\rightarrow C^{\prime}\colon(-9,-5)$

Second, we will image after translating 2 units down

the rule will be:

$(x,y)\rightarrow(x,y-2)$

The final coordinates of the image will be:

$C^{\prime}(-9,-5)\rightarrow C^{\prime}^{\prime}\colon(-9,-7)$

So, the answer will be:

the coordinates of the image of point c after these transformations = (-9,-7)