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I’m so confused i need to know the transformation but i don’t know what it is help may please

I’m so confused i need to know the transformation but i don’t know what it is help-example-1
User Motox
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Answer:

2. K'(-1, -5)

3. (-3, 5), (3, 10), (-6, 8); translation left 2 and up 7

Explanation:

2. The transformation is the one you have shown:

(x, y) ⇒ (x, -y) . . . . reflection over the x-axis

You are given the coordinates for K and asked for K', the reflected point. Use the x- and y-values in the transformation formula:

K(-1, 5) ⇒ K'(-1, -5) . . . . . . the y-coordinate is negated

It's that simple.

__

3. Same deal, different formula.

(x, y) ⇒ (x -2, y +7)

A(-1, -2) ⇒ A'(-1-2, -2+7) = A'(-3, 5)

B(5, 3) ⇒ B'(5 -2, 3 +7) = B'(3, 10)

C(-4, 1) ⇒ C'(-4 -2, 1 +7) = C'(-6, 8)

When constants are added to the coordinates, the transformation is a translation.

The x-values are decreased by 2, so that is a shift left by 2 units.

The y-values are increased by 7, so that is a shift up by 7 units.

The attachment shows the translated triangle (red). The translation vector (-2, 7) is shown as a black arrow. You will notice each triangle vertex is translated that length in that direction.

I’m so confused i need to know the transformation but i don’t know what it is help-example-1
User Quan Vo
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7.6k points

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