Chapter 2.3, Problem 2MP

Given the quadratic function $f\left(x\right)=-0.25x^2-2x+2$

(a) Find the vertex form for $f$

(b) Find the vertex and the maximum of minimum. State the graph of $f$

(c) Describe how the graph of function $f$ can be obtained from the graph of $g\left(x\right)=x^2$ using transformations

(d) Sketch a graph of function $f$ in a rectangular coordinate system

(e) Graph function $f$ using a suitable viewing window

(f) Find the vertex and the maximum of minimum using the appropriate graphing calculator command.