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Funciones Cuadráticas

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Funciones Cuadráticas

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About this activity

Funciones cuadráticas: conceptos y ejercicios

Created by

JHEFFERSON FABRICIO SALGUERO GAVILANEZ
JHEFFERSON FABRICIO SALGUERO GAVILANEZ
Ecuador

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Funciones Cuadráticas
 

Funciones CuadráticasOnline version

Funciones cuadráticas: conceptos y ejercicios

by JHEFFERSON FABRICIO SALGUERO GAVILANEZ
1

Slide 1: ¿Qué son las funciones cuadráticas?

Funciones Cuadráticas

¿Qué son las funciones cuadráticas?

Las funciones cuadráticas son expresiones algebraicas de segundo grado que tienen la forma:

f(x) = ax² + bx + c

donde:

a, b y c son números reales.

a ≠ 0.

2

Slide 2: Características

Características

  • Su gráfica es una parábola.
  • Puede abrirse hacia arriba o hacia abajo.
  • Tiene un vértice y un eje de simetría.
  • Puede tener una o dos raíces reales.
3

Slide 3: Importancia

Importancia

Las funciones cuadráticas permiten modelar y resolver situaciones de la vida real relacionadas con la física, la economía, la ingeniería y otras áreas del conocimiento.

4

Slide 4: Ejemplo

Ejemplo

f(x) = x² - 4x + 3

a = 1

b = -4

c = 3

Esta funcif3n representa una pare1bola que se abre hacia arriba.

5

Slide 5: Actividad

Actividad

Responde las siguientes preguntas:

  • ¿Cuál es la forma general de una función cuadrática?
  • ¿Qué figura representa su gráfica?
  • ¿Qué condición debe cumplir el coeficiente a?
  • ¿Para qué sirven las funciones cuadráticas?
 
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