Use the graph to answer the question. the first one is the graph. the rest are the choices. olivia reflects the triangle over the x-axis, then rotates it 90 degrees clockwise around the origin. which graph shows the resulting triangle?

The answer is (0 , 2) , (-6 , 2) , (-4 , 5)

The 3rd picture

Step-by-step explanation:

* Lets talk about the reflection across x-axis and then the

  rotation clockwise around the origin

- If the point is (x , y), and rotate it across the x- axis, that

 means we will change the position of the point from up to

 down or from down to up the x-axis, so we will change the

 sign of the y-coordinate, then the image is (x , -y)

* From the graph the vertices of the triangle are

 (-2 , 0) , (-2 , 6) , (-5 , 4)

* After the reflection across x-axis their images will be

 (-2 , 0) , (-2 , -6) , (-5 , -4)

* The rotation around the origin with 90° clockwise means

  we will turn each point by 90° from up and right to right and

  down

- That means we switch x-coordinate and y-coordinate and

  change the sign of x-coordinate, then the image is (y , -x)

* Lets Rotate the vertices of the triangle  (-2 , 0) , (-2 , -6) , (-5 , -4)

* After rotation 90° clockwise around the origin their images will be

- (0 , 2) , (-6 , 2) , (-4 , 5)

* Look to all answer we will find the third picture is the right answer

- The right picture is attached

5.6%

step-by-step explanation: