Nov / 28

Graph of the function f(x) = -1/3 (x-2)^2 +3?

                        -1/3 is a fraction.

Im really stuck on this question, 
a) explain how the parabola that is the graph of f can be obtained from the graph of y=x^2 by using the appropriate translations and scaling.
b) What are the coordinates of the vertex of the parabola?
c) Find the coordinates of the x-intercepts and y-intercepts of the parabola.
d) Sketch the parabola including the coordinates of the vertex and the points at which the graph crosses the axes
e) what is the image set of the function f? (express your answer in interval notation)
f) explain why the function f as defined above does not have an inverse.

If anyone can answer these questions, then you truly are a wizard, its baffled me for hours!