Write the equation of the graph obtained when the graph of y=1/x is compressed vertically by a factor of 0.25, translated 4 units right, and then translated 3 units up.

Step-by-step explanation:

Notice that we are requested to perform three transformations in order: first a vertical compression (of the variable "y"), second a horizontal shift (affecting therefore the horizontal variable "x"), and lastly a vertical translation (affecting the variable "y")

1) Recall that a vertical compression by a factor 0.25 involves multiplying the full function y(x) by the factor 0.25:

2) the horizontal translation of 4 units to the right involves subtracting 4 from the variable "x":

3) the vertical translation 3 units up involves adding 3 to the full expression for "y":

justin bieber ml.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq