Describe a way to transform each graph so that it goes through the labeled points.

Step-by-step explanation:

There are several ways to transform each graph. You can translate it, scale it*, or both. Here are some possibilities.

(a) reflect across the x-axis. The given point has an opposite y-value of one that is on the graph.

(b) translate down 1 and left 1. The graph goes through (0, 1). To make it go through (-1, 0), we need to translate by (-1, -1).

(c) reflect across the x-axis. The given point has an opposite y-value of one that is on the graph.

(d) scale vertically by a factor of 1/2. The given points have half the y-value of points on the graph.

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'.

hello i am doing good for you that it's summer in your country or state ; )

btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )