Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) − 11? (5 points) the graph of y = f(x) will shift up 11 units. the graph of y = f(x) will shift right 11 units. the graph of y = f(x) will shift left 11 units. the graph of y = f(x) will shift down 11 units.

Step-by-step explanation:

Alright, lets get started.

When we add or subtract any thing from the function f(x), that is called vertical shift.

The vertical shift means graph will move up or down.

When something is added, the graph of f(x) goes up means vertical shift up.

When something is subtracted, the graph of f(x) goes down, means vertical shift down.

So, when 11 is subtracted from f(x), it means, the graph of f(x) will shift 11 units down.   :  Answer

Hope it will help :)

72 is the answer to this problem

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.