Quadrilateral abcd is transformed according to the rule (x, y) → (y, –x). which is another way to state the transformation? r0, 90° r0, 180° r0, 270° r0, 360°

The correct option is R0, 270°

Step-by-step explanation:

The correct option is R0, 270°

Apply the rule of transformation of rotation which has a property that a rotation preserves length but does not necessarily preserve slope of a line.

Look at the first option:

A 90° rotation ( 1/4 turn) anticlockwise about the origin changes the point (x; y) to (-y; x).

A 180° rotation ( 1/2 turn) clockwise or anticlockwise about the origin changes the point (x; y) to (-x;-y).

A 270° rotation ( 3/4 turn) anticlockwise changes about the origin the point (x; y) to (y;-x).

Thus the correct option we get is  R0, 270° ...

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this