Which polynomial function could be represented by the graph below? a. f(x) = x2 – 6x + 8b. f(x) = 3x2 – 18x + 24c. f(x) = x2 + 6x + 8d. f(x) = 3x2 + 18x + 24

f(x) = x² - 6x + 8

from the graph the zeros are x = 2 and x = 4, hence

the factors are (x - 2) and (x - 4), thus

f(x) = (x - 2)(x - 4) ← expand factors

f(x) = x² - 6x + 8 is a possible polynomial

the median here is 25. your lowest value is 14 and highest value is 48. to find the third quartile, find the medium number in between 25 and 48 which would be 42 i believe.

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'.