The parallelogram below will undergo a single transformation. which transformation will result in an image that is identical to the original parallelogram? choose all that apply. a reflection about x = -4 a reflection about y = 4.5 a rotation through an angle of 360° about the origin a rotation through an angle of 360° about vertex r

The correct options are 3 and 4.

Step-by-step explanation:

The vertices of the parallelogram are P(-8,6), Q(-2,6), R(0,-3) and S(-6,3).

If a figure reflected about x = -4, then

Therefore the image is not identical to the original parallelogram.

If a figure reflected about y = 4.5, then

Therefore the image is not identical to the original parallelogram.

If a figure rotated through an angle of 360° about the origin, then

Therefore the image is identical to the original parallelogram.

If a figure rotated through an angle of 360° about the vertex R, then

Therefore the image is identical to the original parallelogram.

Thus the correct options are 3 and 4.

x = 12

y = 15

step-by-step explanation:

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.