Question

Which one of the following transformations could have been performed to obtain the image pictured bellow?

a. Translation 3 nits right and 5 units up.
b. Translation 3 units left and 5 units up.
c. Translation 3 units right and 5 units down.
d. Translation 3 units left and 5 units down.

Answer 1

Translation in mathematics involves moving a shape without rotating or resizing it. The translated image can move right (horizontally to the right), left (horizontally to the left), up (vertically upward), or down (vertically downward). Without the image provided in the question, the exact transformation cannot be determined.

Step-by-step explanation:

To determine which transformation could have been performed to obtain an image, we need to consider the direction and magnitude of the movements that are described. Given the options, a transformation that involves moving the figure horizontally and vertically can be identified as a translation.

Let's look at the possible translations:

• a. Translation 3 units right and 5 units up.
• b. Translation 3 units left and 5 units up.
• c. Translation 3 units right and 5 units down.
• d. Translation 3 units left and 5 units down.

In terms of the coordinate system:

• Right refers to a movement horizontally to the right side of the coordinate system.
• Left refers to a movement horizontally to the left side of the coordinate system.
• Up refers to a movement vertically upward in the coordinate system.
• Down refers to a movement vertically downward in the coordinate system.

Without the provided image, it's not possible to definitively choose one option over the others. However, understanding the effects of each translation on the position of an image in the coordinate system is crucial in making the right choice.

Answer 2

The transformation that could have been performed to obtain the image pictured below is translation 3 units right and 5 units down.

Step-by-step explanation:

To obtain the image pictured below, the transformation performed would be c. Translation 3 units right and 5 units down. Translation is a transformation that involves moving an object without changing its shape or size. In this case, the image has been moved horizontally to the right by 3 units and vertically downward by 5 units.

A transformation process is any activity or group of activities that takes one or more inputs, transforms and adds value to them, and provides outputs for customers or clients.

There are different formulas for different rules of transformation. For vertically transformation the function f(x) is transformed to f(x) + a or f(x) - a. For horizontal transformation the function f(x) is transformed to f(x + a) or f(x - a). Further for stretched or compressed transformation is it f(cx) or cf(x).