Acceso
Prima
Hogar Banco de preguntas Matemáticas Precálculo
Pregunta
upstudy study bank question image url

Question 1 of 10
How would you describe the difference between the graphs of
and ?
A. is a reflection of over the -axis.
B. is a reflection of over the line .
C. is a reflection of over the x-axis.
D. is a reflection of over the line .

Ask by Wood Ball. in the United States
Nov 07,2024

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

C. is a reflection of over the x-axis.

Solución

To analyze the functions and , we can observe their characteristics:
  1. The function is a parabola that opens upwards, with its vertex at the origin (0,0).
  2. The function is a parabola that opens downwards, also with its vertex at the origin (0,0).
The key difference between these two functions is that has a negative coefficient, which means it is a reflection of across the x-axis.
Thus, the correct answer is:
C. is a reflection of over the x-axis.

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Extra Insights

The graphs of and offer a fantastic illustration of symmetry! The function opens upwards, resembling a smiling face, while flips it upside down, creating a frown. They are equal in width but opposite in direction, showing how a negative sign transforms the shape instantly.
When you take a closer look at their equations, you can find that is indeed just a reflection of over the x-axis. This realization reveals the beauty of quadratic functions and how transformations can alter their appearances, giving you another reason to love the world of graphs!

preguntas relacionadas

49. Obtén el dorninio y el rango de la siguiente función. y=−5−x+2
Precálculo Mexico Mar 31, 2025
The functions f and g are defined as follows. f(x)=x−1x2+6x−7 g(x)=xx2+64 For each function, find the domain. Write each answer as an interval or union of intervals. Domain of f: D Domain of g: :
Precálculo United States Mar 31, 2025
If h(x)=g(f(x)), and h(x)=5x+2, give g(u), the outer function, and u=f(x), the inner function. g(u)=◻ (use u as the variable) u=f(x)=◻ (use x as the variable)
Precálculo United States Mar 31, 2025
Dada la siguiente funcion: f(x)=log⁡(5)−log⁡(−x+10) Seleccione todas las opciones correct Seleccione una o más de una: Imagen f(x)=R Asintota vertical: x=10 Imagen f(x)=R−{10} Asintota ventical: x=−10 Ordenada al origen y=−5 Cero de f(x) en x=−5 Dominio f(x)=(−∞;10] f(x) es siempre decreciente ◻f(x) es siernpre creciente cero de f(x) en x−5 ◻ Dorminio f(x)=(10;∞)
Precálculo Argentina Mar 31, 2025
Find the dimensions of a rectangular corral split into 2 pens of the same size producing the greatest possible enclosed area given 300 feet of fencing. Width =◻ help (numbers) Length =
Precálculo United States Mar 31, 2025

Latest Pre Calculus Questions

The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 1.3% per hour. How many hours does it take for the size of the sample to double? Note: This is a continuous exponential growth model. Do not round any intermediate computations, and round your answer to the nearest hundredth.
Precálculo United States Mar 31, 2025
Find the dimensions of a rectangular corral split into 2 pens of the same size producing the greatest possible enclosed area given 300 feet of fencing. Width =◻ help (numbers) Length =
Precálculo United States Mar 31, 2025
uppose that the functions q and r are defined as follows. q(x)=−x+5r(x)=−2x−5 Find the following. (q∘r)(2)=(r∘q)(2)=◻
Precálculo United States Mar 31, 2025
Suppose that the function f is defined on the interval [−2,2) as follows. f(x)={−2 if −2≤x<−1−1 if −1≤x<00 if 0≤x<11 if 1≤x<2 Find f(−2),f(−0.5), and f(1). f(−2)=◻
Precálculo United States Mar 31, 2025
The functions f and g are defined as follows. f(x)=x−1x2+6x−7 g(x)=xx2+64 For each function, find the domain. Write each answer as an interval or union of intervals. Domain of f: D Domain of g: :
Precálculo United States Mar 31, 2025
Anterior Próximo
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad
Pop-up title
Lorem ipsum dolor sit amet, te everti debitis assentior nam, ne illum utroque principes sed. Ridens phaedrum an vix, qui in dolore appareat.