Question

Image P is shown in the coordinate grid Image P is translated 2.5 units to the right and 3.5 units up to create image P'.

6
Image P
1
2 3
4
Which rule describes this transformation?

Answer 1

Here we do not have the image P, but let's solve this in a general way.

Suppose that we have a point A (x,y)

If we translate the point A n units horizontally (where n can be positive, translation to the right, or negative translation to the left.)

The new point will be (x + n, y)

if we translate the point m units vertically (if m is positive the translation is upwards, if m is negative the translation is downwards), the new point will be (x + n, y + m)

Then if our figure was p (x, y)

The new figure is p(x + 2.5, y + 3.5)

So for every point in the figure, we need to add 2.5 to the x component, and 3.5 to the y-component.