6. (App. 3 + 1 Marks + C 3 Marks) A quadratic function has zeroes 3 + E and 3 J; and contains the point (-2, -10). Find the equation of the quadratic function in standard form. a) Determine the vertex of the parabola. b) Sketch the parabola. Label the key features. 7. (T 3 Marks ) A quadratic function is defined by f(x) = 2x2 + 4x - 1. A linear function is defined by g(x) = mx - 4. What value(s) of the slope of the line would make it a tangent to the parabola?8. (T 4 Marks + C 1 Marks) A store sells baseball caps with Toronto Blue Jays logo on it. Last year the store sold 600 caps at $20 each. The store manager is planning to increase the price. A consumer survey shows that for every $2 increase in the price, the sales drop by 30. a) What price would result in the maximum revenue? b) What is the maximum revenue? (Note: Solve the problem using algebra. Define your variables clearlyl Show your work You get no marks for guessing the numbers)