Let's find the useful things. Other than duct tape, a Swiss army knife and a compass. We meant more within the realm of algebra. We should have been clearer. 1. What are the intercepts? To find the xintercepts, we need to use the quadratic equation because this polynomial doesn't factor nicely. We find . For the purposes of graphing, we can round these numbers to 0.8 and 1.2: The yintercept is the constant term of the quadratic equation, or 3: 2. What is the vertex? The vertex is at , which in this case is . When we plug back into the equation, we find The vertex is . For the sake of graphing, as well as for the sake of our own sanity, we can round to (0.2, 3.1). 3. Does the parabola open upwards or downwards? Since the coefficient on the x^{2} term is positive, the parabola opens upwards. Like a blossoming flower. That's so nice. Putting everything together, we get our graph:
