The graph of is the graph of stretched parallel to the -axis with factor .
The graph of is the graph of shifted downwards units.
Put these three facts together, and you can describe how the graph of is obtained from the graph of .
Where is the vertex of ? So where will it end up when you apply all three of these transformations?what are the co-ordinates of the vertex of the parabola?
The -intercepts are the values of that satisfy .what are the x-intercepts and the y-intercepts of the parabola?
The -intercept is the value of when .
What is the image set for ? What will happen to this set when the transformations are applied?what is the image set of the function in interval notation?