3.3 Quadratic Functions

3.3 Quadratic Functions - t s t f + + , 2 2 b b f a a -- c...

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Quadratic Functions Quadratic Functions Section 3.3 Section 3.3
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Parabolas Parabolas The rule of a quadratic function is a polynomial of degree 2. The shape is a parabola. vertex x- intercepts
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Forms of a Quadratic Function Forms of a Quadratic Function Transformation form: Polynomial form: x-Intercept form: where a, b, c, h, k, s, and t are real numbers and a = 0. If a is positive, the graph opens upward. If a is negative, the graph opens downward. 2 ( ) ( ) f x a x h k = - + ( ) ( )( ) f x a x s x t = - - 2 ( ) f x ax bx c = + +
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Name Transformation Polynomial x-Intercept Form Vertex x- Intercept y- Intercept 2 ( ) ( ) f x a x h k = - + 2 ah k + 2 ( ) f x ax bx c = + + 2 4 2 b b ac a - ± - k h a - ± ( ) ( )( ) f x a x s x t = - - s and t ast ( , ) h k , 2 2 s
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Unformatted text preview: t s t f + + , 2 2 b b f a a -- c Applications Applications In the graph of a quadratic function, the vertex of the parabola is either a maximum or a minimum of the function. Thus, the solution of many applications depends on finding the vertex of the parabola. Joke Time Joke Time Why wouldnt they let the butterfly into the dance? Because it was a moth ball. What happened when the chicken slept under the car? She woke up oily next morning....
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This note was uploaded on 12/01/2011 for the course MATH 111 taught by Professor Stuff during the Winter '11 term at BYU.

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3.3 Quadratic Functions - t s t f + + , 2 2 b b f a a -- c...

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