Consider any point P(x, y) in the coordinate axis.

The reflection of this point across the y-axis is the point P'(-x, y).

(x, y) and (-x, y) are the 'mirror' images of each other, with the y'axis as the 'mirror'.

For example the coordinates of the image of P(4, 13) after the reflection across the y-axis is P'(-4, 13)

or, if P(-5, -9), then P'(5, -9)

Answer: if coordinates of V are (h, k), coordinates of V' are (-h, k)

3 0

3 years ago

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In which choice do all three points lie on the

spin [16.1K]

Answer:

D (1, 2), (2, 4), (4,8)

Step-by-step explanation:

Points lying on the same line:

If three points lie on the same line, the change in y has to be always the same when x changes by 1.

А. (0, 1), (-1, 3), (1, 3)

(-1,3) to (0,1): x changes by 1, y by -2

(0,1) to (1,3): x changes by 1, y by 2

So these points are not on the same line.

B. (4, 2), (2, 1), (4, -2)

Two values for y when x = 4, so not on the same straight line.

C (0, 0), (8, 0), (0, 8)

Two values for y when x = 0, so not on the same straight line.

D (1, 2), (2, 4), (4,8)

Here, when x changed by 1(from 1 to 2), y changed by 2.

When x changed by 2(from 2 to 4), y changed by 2*2 = 4.

So these points are on a straight line, and D is the correct answer.

4 0

3 years ago