Graph XY with endpoints X(−3, 1) and Y(4,−5) after the composition. Translation: (x, y)→(x, y+2) Rotation: 90° about the origin

Transformation involves changing the position of a point or line or shape.

See attachment for the graph of X"Y"

The endpoints are given as:

A translation of means that:

A 90 degrees rotation about the origin is:

So, we have:

See attachment for the graph of X"Y"

Read more about transformation at:

link

X’ is (3,3) and Y’ is (-3,-4)

Step-by-step explanation:

Here, we want to get the coordinates of the point XY after translation and rotation about the origin at 90 degrees

X (-3, 1 ) and Y (4,-5)

Using the translation we have

(-3, 1 + 2) and (4, -5 + 2)

= (-3,3) and (4 , -3)

Rotation about the origin, we have

(x , y) = (y , -x)

So the new set of points will be:

(3,3) and (-3, -4)

See attachment

Step-by-step explanation:

The mapping for a dilation with a scale factor k, about the origin is given by:

From the graph, the coordinates of B are (1,1) and the scale factor is k=4.

We substitute into the rule to get

The image of point B is plotted on the graph in the attachment.