* Quadratic – Polynomial with degree 2 1. y =2(x+1) 2 2. y = -3x 2 + 2x - 6.

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Presentation transcript:

* Quadratic – Polynomial with degree 2

1. y =2(x+1) 2 2. y = -3x 2 + 2x - 6

a b c always = 0!

6) 7x² - 2x – 9 = 0 7)x² - 4x = 117 8) x² + 6 = 5x

Standard Form: y = ax 2 +bx + c Vertex Form: Y = a(x-h) 2 + k where (h,k) is the max or min

* A parabola has a vertex at (1, - 8) and passes through the point (2, - 6). * A parabola has a vertex at (2,7) and passes through (9,-91) * Write a quadratic function with roots at -2 and 5. Write a quadratic function that models…

* Use your calculator to find the vertex and roots for y=3x 2 +2x-5

* Write an equation to model the parabola

During half time at a basketball game, a sling shot launches T-shirts at the crowd. This is demonstrated by the function h = -16t t + 5, where h is height and t is time. 1) Where will the t-shirt land? 2) What is the maximum height?