Quadratic Functions PreCalculus 2.1.

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Presentation transcript:

Quadratic Functions PreCalculus 2.1

Quadratic Functions

Quadratic Functions

Quadratic Functions

As a graphing aid, plotting the x-intercept and the y-intercept can be very helpful The x-intercept occurs when y=0 The y-intercept occurs when x=0 Quadratic Functions

For the graph of the quadratic function, find the coordinates of the vertex and the y-intercept. (1,7) 10 Quadratic Functions

Quadratic Functions

Quadratic Functions

Quadratic Functions

Express the quadratic function f in standard form. Quadratic Functions

Quadratic Functions

Quadratic Functions

Quadratic Functions

Quadratic Functions

Quadratic Functions

Quadratic Functions

Find the maximum value of the function Quadratic Functions

Find the maximum or minimum value of the function Quadratic Functions

Quadratic Functions

Calculators can efficiently find the maximum or the minimum between two points. The equation from the last example Quadratic Functions

Graph centered Quadratic Functions

Menu > 6 > 3 Quadratic Functions

Select lower boundary Quadratic Functions

Quadratic Functions Select upper boundary This is necessary because some functions may have more than one maxima Quadratic Functions

Result with answer Quadratic Functions

Similar on a TI-84, just not as graphical Quadratic Functions

Quadratic Functions

Find the local maximum and minimum values of the function correct to three decimal places. Quadratic Functions

Quadratic Functions

Group Work Quadratic Functions

Quadratic Functions

Pg 95 – 97 1-8, 15, 19, 20, 30, 43-46, 63, 64 Homework