Parabolas

For the quadratic function : f(x) = y = –2x² + 4x + 3, complete the
fol lowing analysis , and graph the function .

a. whether the parabola opens up or down:

b. coordinates of the y - intercept :

c. equation of the axis of symmetry:
(specific to this parabola)

d. coordinates of the vertex :

e. the domain of the function:

f. the range of the function:

g. the x-intercepts (if any)

h. Sketch the graph of the function.