What transformation transforms (p, q) to (q, p)?
a: a reflection over the x-axis
b: a reflection over the y-axis
c: a reflection over y = x
d: a rotation of 90° about the origin

Answer-

A reflection over the y=x, will transform (p, q) to (q, p)

Solution-

A reflection over the x-axis

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (sign is changed).

The point (x, y) becomes (x, -y)

A reflection over the y-axis

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (sign is changed).

The point (x, y) becomes (-x, y)

A reflection over y = x

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places (sign remains as it is).

The point (x, y) becomes (y, x)

A rotation of 90° about the origin

Rotation of point (x, y) about the origin O through 90° in clockwise direction, the new position will be (y, -x).

Rotation of point (x, y) about the origin O through 90° in counter-clockwise direction, the new position will be (-y, x).

Therefore, option C is correct.

c.35

step-by-step explanation:

8+13=21

21+8=29

29+6=35

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: