When the time is at , displayed along the x-axis, we see that the speed, displayed along the y-axis is also . If a car has a speed of , the car is not moving. And if the time is at , the race has not started; thus, the race car driver is waiting to begin the race. 

The time is displayed along the x-axis of the provided graph. During the first  of the race, the driver goes from , displayed on the y-axis of the graph, to . We can see the line between those two points is increasing in a positive direction, or getting faster; thus, the race car driver is increasing his speed. 

Between the  and  part of the race, the race car driver decreases his speed from  to . If we look pasted this point on the graph, we see that he speeds back up and continue with the race, so the race didn't not end. He also didn't stop, because his speed never hit ; thus, he must have had to slow down for some reason, but then resumed the race.

The time is displayed along the x-axis of the provided graph. Between the   and  part of the race, the driver is going  at each time point. We can see from the straight line between those two points that the race car driver's speed doesn't change; thus, the race car driver is driving at a consistent speed.

Between the  and  part of the race, the race car driver decreases his speed from  to . If we look pasted this point on the graph, we see that he speeds back up and continue with the race, so the race didn't not end. Because he comes to a stop at , he didn't just slow down, he stopped; thus, he must have had to stop for some reason, but then resumed the race. 

First, let's define the possible transformations. 

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line. 

In the images from the question, notice that both lines share a starting point at the coordinate point . This can be defined as the central point, and the line was rotated to the left; thus the transformation is a rotation. 

The transformation can't be a reflection over the y-axis because the orange line didn't flip over the y-axis. 

The transformation can't be a translation because the line changes direction, which does not happened when you simply move or slide a line or image. 

First, let's define the possible transformations. 

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line. 

In the images from the question, notice that the black line rotates clockwise, or right around the x-axis; thus the transformation is a rotation. 

The transformation can't be a reflection over the y-axis because the orange line didn't flip over the y-axis. 

The transformation can't be a translation because the line changes direction, which does not happened when you simply move or slide a line or image. 

First, let's define the possible transformations. 

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line. 

In the images from the question, notice that the line made a rotation to the right around the x-axis, and the rotation was ; thus the transformation is a rotation. 

The transformation can't be a reflection over the y-axis because the orange line didn't flip over the y-axis. 

The transformation can't be a translation because the line changes direction, which does not happened when you simply move or slide a line or image. 

First, let's define the possible transformations. 

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line. 

In the images from the question, notice that both lines share a starting point at the coordinate point . This can be defined as the central point, and the line was rotated to the left; thus the transformation is a rotation. 

The transformation can't be a reflection over the y-axis because the orange line didn't flip over the y-axis. 

The transformation can't be a translation because the line changes direction, which does not happened when you simply move or slide a line or image. 

First, let's define the possible transformations. 

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line. 

In the images from the question, the line was not rotated  because that rotation would not have moved the line as far as the orange line was moved. That line would also be slanted at , not straight. The line was not moved to the left, as the translation is described in the answer choice; thus, the correct answer is a reflection over the x-axis.