Question

You can use the directions in words to complete the algebraic representation to describe this translation Direction Algebraic Process Image Preimage (2.-5) Left 1, Up 3 Again, think about the x and y axes and if the direction requires positive or negative movement. Translating left is negative movement on the x-axis, represented by subtraction; translating up is positive movement on the y-axis, represented by addition. Write the algebraic rule into the process column Image Preimage (2,-5) Direction Left 1. Up 3 Algebraic Process X-1, y + 3

Answer 1

We start with the point (2, -5) on the coordinate plane, and are asked to transform it according to:

on the x axis one to the left , and 3 up on the vertical (y) axis.

The transformation then is:

(-1, +3) as you wisely indicated.

Now we apply ot to the given point to get the final position, as shown below;

(2, -5) --> (2 - 1, -5 + 3) = (1, -2)

Therefore the final translation took it to (1, -2)

I am now making the image of the transformation. Please give me a few minutes to get it ready

The new image of the original point is now represented as agreen dot, and the motion to the left in one unit, and then up in 3 units is shown with green short segments.