Instructions: select the correct answer.
which sequence is not equivalent to the others?
a reflection across the y-axis, followed by a reflection across the x-axis, and then a 90° clockwise rotation about the origin
a 90° clockwise rotation about the origin and then a 180° rotation about the origin
a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a reflection across the x-axis
a 90° counterclockwise rotation about the origin
nextreset

The correct option is 3.

Step-by-step explanation:

Option 1,

A reflection across the y-axis,

then reflection across the x-axis

and then a 90° clockwise rotation about the origin.

So the image of P(x,y) is P'(-y,x).

Option 2,

A 90° clockwise rotation about the origin

and then a 180° rotation about the origin.

So the image of P(x,y) is P'(-y,x).

Option 3,

A reflection across the x-axis,

Followed by a 90° counterclockwise rotation about the origin.

and then a reflection across the x-axis.

So the image of P(x,y) is P'(y,-x).

Option 4,

A 90° counterclockwise rotation about the origin

So the image of P(x,y) is P'(-y,x).

The third sequence is not equivalent to the others. Therefore the correct option is 3.

1; 35 is the ratio

step-by-step explanation:

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4