Reflections were shown across the x- and y-axes but reflections can occur across any line. The figure above shows quadrilateral EFGH reflected about the line y=x. Which best describes what happens to the ordered pair for this reflection? 1. (x, y) → (y, x)

2. (x, y) → (-x,-y)

3. (x, y) → (-y,-x)

4. There is no relationship between the points.

1. (x,y) → (y,x)

Step-by-step explanation:

Coordinate of point E:

Before the transformation, the coordinate of point E was given by (3,-6).

After the transformation, we have E'(-6,3), which eliminates options 2 and 3.

For the other points, we will also get, (x,y) -> (y,x), which is the rule given when the original figure is reflected over the line y = x, and thus, the correct answer is given by option 1.

there is no question content here, but you for the free points! : d

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!