{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# 3.3 Quadratic Functions - t s t f Ã Ã 2 2 b b f a a Ã Ã c...

This preview shows pages 1–7. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Parabolas Parabolas The rule of a quadratic function is a polynomial of degree 2. The shape is a parabola. vertex x- intercepts
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 = + +

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: t s t f + + Ã· Ã· , 2 2 b b f a a -- Ã· Ã· c Applications Applications â€¢ 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 â€¢ Why wouldnâ€™t they let the butterfly into the dance? â€¢ Because it was a moth ball. â€¢ What happened when the chicken slept under the car? â€¢ She woke up oily next morning....
View Full Document

{[ snackBarMessage ]}

### Page1 / 7

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

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online