Finding maximum and minimum value of quadratic function

Question

Assignment:

Q1. a) Solve 7x+x(x-2)=0

b) Find the x-intercepts of f(x)=7x+x(x-2)

Q2. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function and graph the function: f(x)=2x²-8x+6

Q3. Find the x-intercepts and y-intercepts for f(x)=x²-9x+12

Q4. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function and graph the function: f(x)=4x²-8x+6

Q5. Solve for x: 7x²=-26x-15

Q6. Find the vertex and the line of symmetry. Graph the function f(x)=--1/3 x²

Q7. Solve by completing the squares x²+1/2x=1

Q8. Solve the formula for the given letter. Assume all variables represents non negative numbers: E=nc²

Q9. Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function and graph the function: f(x)=x²-2X-1

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