Describe fully the single transformation which takes shape A to shape B

(See explanation for further details).

Step-by-step explanation:

The transformation consists of two steps:

1) Reflection of A with respect to vertical axis.

2) Translation of the resultant shape by 1 unit in the -y direction.

We want to describe the transformation that takes shape A to shape B.

The transformation is: A reflection across the y-axis followed by a translation down of 1 unit.

By looking at the graph, we can notice two thins:

The "hole" in shape A is at the right, while the hole in shape B is at the left, and both of these are at the same distance of the y-axis. So we can conclude that we had a reflection across the y-axis.

We can also see that shape B is below shape A (only one unit). Then we also had a vertical shift of one unit down.

Then the complete transformation is:

A reflection across the y-axis followed by a translation down of 1 unit.

If you want to learn more, you can read:

link

300pi

step-by-step explanation:

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8