please Linear system fill in the blanks please help 55 point * please please please help

Answer:
a) Vertex b) Maximum c) Axis of symmetry d) Linear e) x-intercept f) Parabola g) Minimum h) Quadratic i) Down
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
d) The first difference of a quadratic sequence will be a linear sequence.
h) The second difference of a quadratic will be constant.
i) image attached