Quadratic functions , Algebra 2 help

I have pictures of the questions that I will post down below, if you could show your work for each question that would be great, thank you!

Complete parts a-c for each quadratic function.
a. Find the y-intercept, the equation of the axis of symmetry, and the
x-coordinates of the vertex.
b. Make a table of values that includes the vertex.
c. Use the information to graph the function.
1.
f(x) = -3×2 + 8x
f(x) = 2×2 + 7x + 1
2.
Determine whether each function has a maximum or minimum
value. State the maximum or minimum value of each function.
3.
f(x) = x2 + 6x + 9
f(x) = -x2 + 4x
4.
5.
Write a quadratic equation with roots -3 and 4 in standard form.
Solve each quadratic equation using the method of your choice.
Find exact solutions.
6.
7.
8.
-1.6×2 – 3.2x + 18 = 0
10×2 + 3x = 1
x2 + 8x – 48 = 0
Simplify the expression.
9. (5 – 21) – (8 – 111)
10. (14 – 51)
Write each equation in vertex form. Then identify the vertex, axis of
symmetry, and direction of opening.
Write each equation in vertex form. Then identify the vertex, axis of
symmetry, and direction of opening.
11. y = x2 + 10x + 27
12. y = -9×2 + 54x – 8
Graph each inequality.
13. (x – 5)(x + 7) < 0 14. -5x2 + x + 2