Objectives: To identify quadratic functions and graphs and to model data with quadratic functions.

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Presentation transcript:

Objectives: To identify quadratic functions and graphs and to model data with quadratic functions

 Investigate:  As the side lengths of a square increase by 1, what happens to its perimeter and its area?  Find a general rule to represent the relationship between any side length and its perimeter and area.

A function of degree two; the largest exponent in the function is two Standard Form f(x) = ax 2 + bx + c; Quadratic term Linear term Constant term a ≠ 0

f(x) = (x + 2)(x – 7)f(x) = (x 2 + 5x) – x 2

Parabolas Vertex(max/min) (2, 0)

By hand… Substitute the values of x and y into y = ax 2 + bx + c and solve the system of equations with three variables Find a quadratic function that goes through (1, 0), (2, -3), and (3, 10)

Using a graphing calculator… Enter the data into calc STAT, Edit Find equation STAT, CALC, QuadReg, Enter The table at the below shows the height of a column of water as it drains from its container. Model the data with a quadratic function. Use the model to estimate the water level at 35 seconds.

Pg 237 #1-16, 20-22, even