It is late in the year to introduce quadratics. These ideas might be something to save for next year.
How can you activate multiple intelligences and involve students in thinking deeply about quadratics? Try using a variety of activities - hands-on, computer simulation, reading, critical thinking and/or a video.
What do you wonder, notice? Examining pictures
Starburst Lab - Discover the pattern
Essay to Read - 101 Uses for a Quadratic Equation
Video to Watch - Quadratics/Parabolas in the Real World
Guided Discovery - Will It Hit the Hoop Desmos Activity
Then use this chart to organize basic properties - it will prompt you to make a copy.