En el siguiente applet interactivo, te invitamos a estudiar el comportamiento de una función cuadrática modelándola en un contexto real: el juego de baloncesto. Tendrás la posibilidad de modificar la altura y[br]posición del tablero, y de seleccionar tres puntos clave que permitirán construir una ecuación cuadrática con la que determinarás la trayectoria del balón al realizar un lanzamiento.[br]Esta actividad se basa en una narrativa inspiradora:[br][b]¿Serás capaz de superar a Kobe Bryant con un tiro perfecto?[br][/b][br][size=200][b]Narrativa:[/b][/size][br]Nos situamos en uno de los momentos más memorables de la carrera de [b]Kobe Bryant[/b], legendario jugador de la NBA. Los [b]Lakers de Los Ángeles[/b] están perdiendo por 10 puntos. Quedan [b]3 minutos y 11 segundos[/b] en el reloj. Kobe toma la pelota por el costado izquierdo, de espaldas a la canasta. Analiza la situación. Gira, conduce y salta, esquivando a dos defensores. Hace un [b]lay-up[/b]: ¡los Lakers se acercan![br]Pero tras una jugada rápida de Utah, la diferencia vuelve a ser de 10 puntos. Kobe, ahora en el ala izquierda y frente a su marcador, dribla de lado a lado, se lanza hacia el centro, gira y ataca el aro, recibiendo una falta. En la línea de tiros libres, anota los dos. El marcador se acorta.[br]Con [b]1 minuto y 49 segundos[/b] por jugar, Kobe avanza con el balón. Cruza una pantalla, sortea al defensor y lanza desde lo alto. ¡Encesta! Faltan solo 6 puntos. Vuelve a avanzar y se perfila hacia el aro. Esta vez, la decisión está tomada: [b]va a lanzar desde la línea de tres puntos[/b]. Un defensor se aproxima, pero está a un metro. Kobe dribla con la izquierda, se detiene y salta. Ambos pies en el aire. Todo su cuerpo perfectamente alineado con el aro, el codo en ángulo recto, suspendido como por un hilo invisible.[br]La voz del comentarista resuena:[br][b]“¡Bryant… por la ventaja!”[/b][br]¡Explosión! El balón cruza la red. Kobe ya ha aterrizado con equilibrio perfecto, brazo extendido, completamente ajeno al rugido de los [b]20.000 aficionados[/b] que lo rodean.[br][i](Lambert, 2020)[/i][br][br][size=200][b]Pregunta:[/b][/size][br]¿Podrías[color=#0000ff] [b]realizar un tiro perfecto[/b][/color] si conoces la trayectoria parabólica ideal?[br][b][color=#ff00ff]¡Pruébalo en el applet y descubre la matemática detrás del baloncesto![br][/color][/b][b][size=150][size=200]Actividad del simulador[br][/size][/size][/b][b][u][code][br][/code][/u]A)[/b] La parábola, [b][color=#ff7700]"curva color naranja"[/color][/b] representa la trayectoria de un balón hacia un tablero de básquet, donde [color=#ffff00][b]l[/b][/color][b][color=#ffff00]os puntos amarillos[/color][/b] definen la distancia horizontal y es la altura correspondiente del tablero. La curva muestra la trayectoria que deberás encontrar. [br][b]B)[/b] La trayectoria de un segundo lanzamiento [b][color=#ff0000]"curva color rojo" [/color][/b] representa la función que debe de coincidir con la primera curva. Modelo que debes de determinas[br][b]C)[/b] Para encontrar la ecuación deberás de [b]encontrar [/b]el valor de [b]a[/b], [b]b[/b] y [b]c[/b] de la ecuación cuadrática modelada.[br] [b][i]C1[/i][/b]. Si no te sale con exactitud los valores de a y b, activa el código 1970 para comparar los resultados y determina el porcentaje de error de tus resultados.[br][b]D)[/b] Además, tienes 7 puntos, que podrás utilizarlo para poder encontrar la función cuadrática, que representa la trayectoria de tu balón.[br][b]Nota: [/b][i][color=#0000ff]Saldrá el sonido de la narración del lanzamiento sólo si logras un tiro perfecto[/color][/i][br][b]A partir[/b] de la ecuación determinada deberás de:[br][b]Hallar[/b] el eje simétrico y la altura máxima del balón. [i](Casilla de entrada)[/i][br][b]Escribir[/b] el punto vértice de la trayectoria del balón.[i] (Casilla de entrada)[br][/i][b]Escribir[/b] la función cuadrática de la forma canónica.[i] (Casilla de entrada)[br][/i][b]Hallar[/b] los puntos ceros de la función. [i](Casilla de entrada)[/i][br][b]Escribir[/b] la función cuadrática de la forma factorada. [i](Casilla de entrada)[/i][br][b]Comparar[/b] las gráficas de la práctica[br][center][b][color=#0000ff][size=100]USA EL CUADRO DE ANÁLISIS DE UNA FUNCIÓN CUADRÁTICA, PARA PODER CUMPLIR EL RETO[/size][/color][/b][/center][img]data:image/png;base64,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[/img]
Guía para el uso del control
EJERCICIO # 1
Considere la función [math]f\left(x\right)=a\left(x-p\right)\left(x-q\right)[/math], que se muestra en el siguiente gráfico.[br][table][tr][td][list=1][*][b]Halle[/b] la ecuación del eje de simetría.[/*][*][b]Halle[/b] el valor de[b] p[/b] y el valor de [b]q[/b].[/*][*][b]Halle[/b] el valor de [b]a[/b].[/*][/list][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table]
EJERCICIO # 2
El gráfico de una función cuadrática[i][b] f(x)[/b][/i] se muestra a continuación.[br][table][tr][td][img]data:image/png;base64,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[/img][/td][td][list][*][b]Halle[/b] la ecuación cuadrática en la forma [b][i]f(x)[/i] = [i]a x[sup]2[/sup] + b x + 30.[/i][/b][/*][*][b]Escriba[/b] la ecuación del eje de simetría del gráfico.[/*][/list][/td][/tr][/table]
EJERCICIO # 3.
Considere la función [i]f(x) = -2 ( x - 1)( x + 3 )[/i], para [math]x\in\mathbb{R}[/math]. La siguiente figura muestra una parte del gráfico de [i]f[/i].[br][table][tr][td][img]data:image/png;base64,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[/img][/td][td]Para este gráfico de [i][b]f[/b][/i]:[br][list][*][b]Halle[/b] la coordenada [b]x[/b] de todas las intersecciones con el [b][i]eje x[/i][/b].[/*][*][b]Halle[/b] las coordenadas del vértice.[/*][/list]La función f se puede escribir en forma [i]f(x)= -2(x - h)[sup]2[/sup] + k.[br][list][*][i][b]Escriba[/b] el valor de [b]h[/b] y el valor de [b]k[/b][/i][/*][/list][/i][/td][/tr][/table]
EJERCICIO # 4
Una fábrica elabora camisas. El costo, [b]C[/b], en dólares de Fiji (FJD), de producir [b]x[/b] camisas está modelado por[br][i]f(x)=(x - 75)[/i][sup]2[/sup][i] + 100[br][list][*][b]Halle[/b] el costo de producir 70 camisas.[/*][/list][/i][i]El costo de producción no debe pasar los 500 FJD. Para lograrlo, la fábrica tiene que producir al menos de 55 camisas y como mucho s camisas.[br][list][*][b]Halle[/b][i] el valor de [/i][b][i]s[/i][/b][i].[/i][/*][*][i][b]Halle[/b] el número de camisas que se producen cuando el costo de producción es lo más bajo posible.[/i][/*][/list][/i]
EJERCICIO # 5
Bella lanza una pelota desde la parte superior de una pared hacia un suelo plano y horizontal. La trayectoria de la pelota está modelada por la curva cuadrática [b][i][color=#9900ff]y = 3 + 4x - x[sup]2[/sup][/color][/i][/b], donde [b][i]x[/i][/b] representa la distancia horizontal que se lanza la pelota e [b][i]y[/i][/b] representa la altura de la pelota sobre el suelo. Todas las distancias se miden en metros. La pared se encuentra a lo largo del [b][i]eje y[/i][/b]. La curva corta el [b][i]eje y[/i][/b] en el punto [b]A[/b] y tiene su vértice en el punto [b]B[/b].[br][table][tr][td][img]data:image/png;base64,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[/img][/td][td][br][br][list][*](a) [b]Escriba [/b]la altura en metros desde la que se lanzó la pelota. [/*][*](b) [b]Calcule[/b] la altura máxima, sobre el suelo, que alcanza la pelota.[/*][*](c) [b]Halle[/b] la distancia horizontal desde la base de la pared hasta el punto en el que la pelota toca el suelo.[/*][/list][/td][/tr][/table]
EJERCICIO # 6
Victoria utiliza unos ejes de coordenadas para dibujar el diseño de una ventana. La base de la ventana está en el [b][i]eje x[/i][/b], la parte superior de la venta tiene forma de curva cuadrática y los lados son lineales verticales, tal y como se muestra en la figura. Los extremos de la curva son los puntos [b](0, 10)[/b] y [b](8, 10)[/b], y el vértice de la curva está en [b](4, 12)[/b]. Las distancias vienen dadas en centímetros.[br][table][tr][td][img]data:image/png;base64,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[/img][/td][td]La curva cuadrática se puede expresar en la forma [i]y = a x[sup]2[/sup] + b x + c[/i], para [math]0\le x\le8[/math].[br][list][*][b]Escriba[/b] el valor de c.[/*][*][b]A partir de lo anterior[/b], [b]Halle[/b] la ecuación de la curva cuadrática.[/*][/list][/td][/tr][/table]