Real life Quadratics Plus Relative Maximums, Minimums and Zero’s.

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Presentation transcript:

Real life Quadratics Plus Relative Maximums, Minimums and Zero’s

Warm Up: Evaluate for f(9) and f(2)

Objective The student will be able to identify relative maximums and minimums, and zero’s of functions.

Explore Non-linear functions explore worksheet.

Try with a Partner: Fireworks go off at their highest point and can be represented by the following equation: Graph the equation and determine the time t in which the firework is at it’s maximum height and find the height in meters.

Quadratic Function A quadratic function is written in the form: y = ax 2 +bx+c where a does not equal 0. Note: this is called standard form. The equation forms a parabola when graphed.

Parabolas Parabolas have either a maximum or a minimum. Maximum: The highest point on the graph. Minimum: The lowest point on the graph. Parabolas also have zeros, which are where the the parabola crosses the x-axis.

Maximums and Minimums MaximumMinimum

Try with a Partner: Jumping into a pool off a diving board 2.5 feet from the surface of the water can be represented by the following equation: Graph the equation and determine the time t when you are at the deepest point and find how deep you go in feet.

On your Own: Shooting off a rocket can be represented by the following equation: Determine how many seconds the rocket was in the air. Determine the maximum height of the rocket.

On your Own: Punting a football can be represented by the following equation: Graphically represent the equation and find the hang time of the football. Determine the maximum height of the football.

Exit Ticket Exit Ticket: Determine the Zero’s and either relative max or min.