Quadratic Functions Pre Calculus 2 1 Quadratic Functions

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Quadratic Functions Pre. Calculus 2. 1

Quadratic Functions Pre. Calculus 2. 1

Quadratic Functions

Quadratic Functions

Quadratic Functions

Quadratic Functions

Quadratic Functions

Quadratic Functions

 • As a graphing aid, plotting the x-intercept and the y-intercept can be

• 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

• For the graph of the quadratic function, find the coordinates of the vertex and the yintercept. (1, 7) 10 Quadratic Functions

Quadratic Functions

Quadratic Functions

Quadratic Functions

Quadratic Functions

Quadratic Functions

Quadratic Functions

 • Express the quadratic function f in standard form. Quadratic Functions

• Express the quadratic function f in standard form. Quadratic Functions

Quadratic Functions

Quadratic Functions

Quadratic Functions

Quadratic Functions

Quadratic Functions

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 value of the function Quadratic Functions

 • Find the maximum or minimum value of the function Quadratic Functions

• Find the maximum or minimum value of the function Quadratic Functions

Quadratic Functions

Quadratic Functions

 • Calculators can efficiently find the maximum or the minimum between two points.

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

Graph centered Quadratic Functions

Graph centered Quadratic Functions

Menu > 6 > 3 Quadratic Functions

Menu > 6 > 3 Quadratic Functions

Select lower boundary Quadratic Functions

Select lower boundary Quadratic Functions

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

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

Result with answer Quadratic Functions

Result with answer Quadratic Functions

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

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

Quadratic Functions

Quadratic Functions

 • Find the local maximum and minimum values of the function correct to

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

Quadratic Functions

Quadratic Functions

 • Group Work Quadratic Functions

• Group Work Quadratic Functions

Quadratic Functions

Quadratic Functions

 • Pg 95 – 97 1 -8, 15, 19, 20, 30, 43 -46,

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