Axis of symmetry and supply and demand

Question

Assignment:

Q1. Find the axis of symmetry.

y = x² + 5x - 7

Q2. Solve.    5(x - 2)² = 3

Q3. Solve by completing the square. 

x² + 2x - 8 = 0

Q4. Find the x-intercepts.

y = x² + 5x + 2

Q5. Is the following trinomial a perfect square?  Why?

x² + 18x + 81

Q6. The demand and supply equations for a certain item are given by

D = -5p + 40

S = -p² + 30p - 8

Find the equilibrium price

Q7. Solve by using the quadratic formula.  5x² + 5x = 3

Q8. Find the constant term that should be added to make the following expression a perfect-square trinomial.

x² + 7x

Q9. Identify the axis of symmetry, create a suitable table of values, then sketch the graph (including the axis of symmetry).

y = x² - 4x

Q10. Identify the axis of symmetry, create a suitable table of values, then sketch the graph (including the axis of symmetry).

y = -x² + 3x - 3

Provide complete and step by step solution for the question and show calculations and use formulas.