Question

The point (4, 5) is translated two units left and eight units don. What is the y-coordinate of the image?

Answer 1

The translation is a form of transformation in math. It moves points horizontally or vertically. The new position is called the image. To find the new y-value, subtract the downward movement from the original y-value. In this case, the answer is -3.

Simple Explanation

Answer 2

-3

Explanation:

Translation is a form of transformation.

Transformations

In math, transformations are ways in which a geometric shape can change. Transformations change the x and y coordinates of shapes and points, One form of transformation is translation. Translation occurs when a point(s) is moved vertically or horizontally. This means that translation moves a point to the left, right, up, and down. After a translation, the new shape or point is called the image.

Translations

The question states that the point is moved 2 units left and 8 down. Remember that horizontal translations affect the x-values and vertical translations affect the y-values. Leftward movements are horizontal. However, we are only asked for the y-value. So, we only need to look at the downward movement. In order to find the new y-value, we need to subtract 8 from the y-value. We are subtracting because the translation was down. This means that the y-coordinate of the image is -3.