Which transformation can be applied to the blue figure to create the red figure?

a: rotation 90° counterclockwise around the origin, and then reflection across the y-axis

b: rotation 180° around the origin, and then reflection across the y-axis

c: reflection across the x-axis, and then rotation 90° counterclockwise around the origin

d: reflection across the line y=-x, and then rotation 270° counterclockwise around the origin

D

Step-by-step explanation:

From the figure, the transformation that can be applied to the blue figure to create the red figure has the rule:

Now,

1. Reflection across the line y=-x has the rule

2. Rotation 270° counterclockwise around the origin has the rule

3. Reflection across the line y=-x, and then rotation 270° counterclockwise around the origin has the rule

As you can see, given transformation is equivalent to the sequense of transformations from option D

D: Reflection across the line y=-x, and then rotation 270° counterclockwise around the origin

Step-by-step explanation:

The red figure is just a reflection of the blue figure along the y-axis

The same result can be obtained by these two transformations:

1) Reflection across the line y = -x

And then

2) Rotation 270° counterclockwise around the origin

answer: ur v dumb

step-by-step explanation:

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11