1. Describe three different ways to solve a quadratic equation. Describe the strengths and limitations of each method, and explain how you would decide which one to use to solve a particular problem. 2. Derive the quadratic formula from the standard form (ax2 + bx + c = 0) of a quadratic equation by following the steps below. a. Divide all terms in the equation by a. b. Subtract the constant (the term without an x) from both sides. c. Add a constant (in terms of a and b) that will complete the square. d. Take the square root of both sides of the equation. e. Solve for x. 3. Write a linear equation that intersects y = x2 at two points. Then write a second linear equation that intersects y = x2 at just one point, and a third linear equation that does not intersect y = x2. Explain how you found the linear equations