1. Determine a quadratic function in standard form y = ax^2 +bx+ c. Which has roots −3 ± √2 and passes (−4,3). 2. Determine the value of k so that 3^2 − 5 + = 0 has exactly one root.

3. The height of the rock is given by the equation = −5^2 + 30 + 7 where h is in metres and t is in seconds. (Round your answers to 1 decimal place).
a). What is the initial height?
b). What is the maximum height?
c). When did the rock hit the ground?

4. Suppose a > 0 and c < 0 for the quadratic equation ^2 + + = 0 . Explain why the equation must always have two real roots.

5. Please state the restrictions of the questions, and the rest solve. Please and thank you.