(0,-2) (4,-1) which equation represents the graphed function?

Conclusion:

Working backward will create an equation, but remember that there are other equations that will also have that same set of solutions.

(Compare the solutions in 1a with 1b, and take a look at the graph at the right.)

Any equation of the form k(x2 + x - 12) = 0, where k is a constant, has the same solutions as  x2 + x - 12 = 0.

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'.

step-by-step explanation: