The graph of y= g(x) is shown. Draw the graph of y= g(-x) + 2

Question

The original coordinates are (0,0) (-2,4) (4,2) . I need help on doing this problem.

Answer 1

You haven't posted a graph, and I can see that this isn't a linear equation by the points, so without actually knowing the function g(x), we can just look for the coordinates that correspond to y = g(-x) + 2.

g(-x)+2 just means that all the x coordinates of the original equation get multiplied by -1 and all the y coordinates get increased by 2.

By this logic, we can deduce that:

1. (0,0) becomes (-1*0,0+2) = (0,2)
2. (-2,4) becomes (-1*-2,4+2) = (2,6)
3. (4,2) becomes (-1*4,2+2) = (-4,4)

So the graph y=g(-x)+2 will lie on coordinates (0,2), (2,6) and (.4,4)