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8 months ago

A translation 1 unit down and 6 units left maps L onto L'. If the coordinatesof L are (-2, 6), what are the coordinates of L'?

Mathematics

1 answer:

beks73 [17]8 months ago

5 0

Translation

We are given the rule for a translation: 1 unit down and 6 units left. It can be written as:

(x,y) --> (x - 6 , y -1 )

We need to subtract 6 units to the x-coordinate and subtract 1 unit to the y-coordinate.

The point L=(-2,6) will map to L' when applied the translation described above.

The coordinates of L' are:

L' = (-2-6 , 6 - 1 ) = (-8 , 5)

The coordinates of L' are (-8,5)

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Answer:

Range = {-1, 1, 3}

Step-by-step explanation:

<u><em>The question asks for the range.</em></u>

The function given is

$y=x-5$

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Domain = {4,6,8}

We need to find the range.

First, the range is the set of all y-values for which the function is defined.

When we will be given the domain with a set of numbers, the range would be the numbers that we get when we evaluate the the function at those numbers.

So, we evaluate the function (y-values) at x = 4,6, and 8.

At x = 4:

$y=x-5\\y=4-5\\y=-1$

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At x = 8:

$y=x-5\\y=8-5\\y=3$

Thus, the range is:

Range = {-1, 1, 3}

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