What set of transformations could be applied to rectangle ABCD to create A″B″C″D″? 'Rectangle formed by ordered pairs A at negative 4, 2, B at negative 4, 1, C at negative 1, 1, D at negative 1, 2.
The second rectangle is formed by ordered pairs A double prime at 2, negative 4, B double prime 1, negative 4, C double prime at 1, negative 1, D double prime at 2, negative 1.

A. Reflected over the x‒axis and rotated 180°
B. Reflected over the y-axis and rotated 180°
C. Reflected over the x‒axis and rotated 90° counterclockwise
D. Reflected over the y-axis and rotated 90° counterclockwise

reflection about the line of y=x

Step-by-step explanation:

(x,y) --> (y,x)

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.