The graph of y= g(x) is shown. Draw the graph of y = g(-x)-3

Question

The original coordinates are (0,0) (-2,-4) (-4,0)

Answer 1

The coordinates we are given for y=g(x) are (0,0) (-2,-4) (-4,0). Since we are asked to find the graph of y=g(-x)-3, we can approach the graph transformation by breaking it down into two parts. The g(-x) part means that we are making the x values opposite, or flipping them across the y-axis. This means our x would go from 0,-2,-4 to 0,2,4, respectively. As for our y values, g(-x)-3 tells us that we are shifting each of our y values down by 3. This means our y values go from 0,-4,0 to -3,-7,-3, respectively. Thus, our new coordinates for y=g(-x)-3 are (0,-3) (2,-7) (4,-3).