Looking at the graph
Part a
This is a vertical parabola that opens Upward
Part b
The equation of the axis of symmetry is equal to the x-axis of the vertex (in a vertical parabola)
The vertex is the point (-3,3)
so
the equation of the axis of symmetry is x=-3
Part c
The vertex is (-3,3)
Part d
Find out the intercepts
y-intercept --------> (0,7)
x-intercepts ------> DNE (does not exist)