Algebra II Question Please Answer and Thank you

Question

The graph of F(x) is shown below. Suppose G(x) has the same shape as the graph of F(x), but is shifted down3 units and left 2 units.

 

GRAPH LINK : http://imgur.com/a/9g95J

 

Part I: Draw the graph of G(x) on the same grid as F(x). 

Part II: Explain how you got the Graph in part 1

Answer 1

Cant copy image here, nor draw anything here, but all that must be done is to draw the EXACT SAME FIGURE but do it 3 spaces down and 2 spaces to the left.   This is easier than it sounds.  

 

Pick just 1 point on the original graph, and in a different color, draw a point that is 3 spaces down and 2 spaces left.

Then pick just 1 new point on the original graph, and in the different color, draw a point that is 3 spaces down and 2 spaces left.

Then pick another point and do the same thing again and again until you have a good outline of the new function in your different color.

 

My suggestion would be to choose points to draw in the new location from the maximums, the minimums, the axis crossings, and maybe a few in between.  That should give you enough to sketch the graph of G(x).