Question

John says the transformation rule (x, y) es002-1.jpg (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to the image (0, ???2). What was his error?

Answer 1

Answer:

The pre-image is the point you start with. To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the image. Instead the rule was applied to the image. This is the source of the error.

Step-by-step explanation:

The transformation rule should be applied to the pre-image.

The application of the rule results in the point (8, 12).

The transformation rule was applied to the wrong point.

Answer 2

We are given transformation rule

(x, y) --> (x + 4, y + 7).

The coordinate of the pre-image is (4,5).

The coordinate of the transformed image is (0,-2).

Please see, if we apply

(x, y) --> (x + 4, y + 7) rule.

(4,5) coordinate would become (4 +4 , 5+7 ) = (8,12).

But we need (0,-2) instead of (8,12).

Let us reverse operation in the given rule and check.

Let us change (x + 4, y + 7)  to (x-4, y-7) and now check.

(4,5) coordinate would become (4-4 , 5-7) = (0,-2).

So, we got exact coordinate of the transformed image.

Therefore, error was

(x, y) --> (x + 4, y + 7) rule should be (x, y) --> (x - 4, y - 7) rule.