Question

Complete the description of what happens to a figure when the given sequence of transformations is applied to it: (x,y) → (-x,y); (x,y) → (0.6x, 0.6y);(x, y) = (x - 5, y + 5)

Reflection over the (y-axis/x-axis/origin); (movement upwards/translation/transformation/dilation) with a scale factor of 0.6; translation 5 unit left and ____ units up.​

Answer 1

• Reflection over the y-axis;
• dilation with a scale factor of 0.6;
• translation 5 unit left and 5 units up.​

Explanation:

The results of the given transformations are ...

• (x,y) → (-x,y); reflection over the y-axis
• (x,y) → (0.6x, 0.6y); dilation by a factor of 0.6
• (x, y) → (x - 5, y + 5); translation left 5 and up 5

_____

Additional comment

Changing the sign of the x-coordinate moves a point horizontally to the other side of the y-axis, reflecting it over the y-axis.

Multiplying coordinate values by the same factor effects a dilation about the origin by that factor.

Adding to the x-coordinate moves the point to the right; adding to the y-coordinate moves the point up. (Subtracting from x moves the point left.)