Describe your parabola! 1. Symmetry 2. High/Low point 3. Any special points 4. The shape
Vertex Line of Symmetry
Downward Parabolas y-axis Vertex x-axis The Solutions (x-intercepts)
Quadratics Vocabulary Vertex: The highest or lowest point on a parabola X-Intercept(s): Where the graph crosses the x-axis. The “solutions” to a quadratic equation.
Quadratics Vocabulary Y-Intercept: Where the graph crosses the y-axis Line of Symmetry: The line that divides the parabola into mirror images. If you fold your graph on the line of symmetry, the two sides will match perfectly.
Line of Symmetry Your vertex? Your yintercept? Your xintercept(s)? Your line of symmetry?
BREAK!
I’m Thinking of a Parabola The y-intercept of my parabola is at (0, – 8), can you sketch its graph?
I’m Thinking of a Parabola The x-intercepts of my parabola are (-2, 0) and (4, 0) and the y-intercept of my parabola is at (0, – 8) , can you sketch its graph?
I’m Thinking of a Parabola The vertex of my parabola is (1, -9), the x-intercepts of my parabola are (-2, 0) and (4, 0) and the y-intercept of my parabola is at (0, – 8). Can you sketch its graph?
What information do you need to graph a parabola? Line of Symmetry
Solve each equation • What do you notice? ?
Zero Product Property
Zero Product Property Factor Set each factor equal to 0 Solve
Zero Product Property Now try a few of these on your own.