Pregunta
upstudy study bank question image url

  1. Which of the following is a quadratic function?

Ask by Ross Reid. in the United States
Mar 13,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

Option (3) is a quadratic function.

Solución

To determine which of the given functions is a quadratic function, we need to identify the characteristics of a quadratic function. A quadratic function is typically in the form:
where , , and are constants, and .
Now, let’s analyze each of the provided options:
  1. Option (1):
    • This is a linear function (not quadratic) because it can be expressed in the form .
  2. Option (2):
    • This is a cubic function (not quadratic) because the highest power of is 3.
  3. Option (3):
    • This is a quadratic function because it is in the form with , , and .
  4. Option (4):
    • This is an exponential function (not quadratic) because it involves , which is not a polynomial.
Based on this analysis, the only quadratic function among the options is:
Option (3): .

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Beyond the Answer

The quadratic function from the options you provided is . Quadratic functions are characterized by the variable raised to the power of 2, and this function fits the bill perfectly!
Quadratic functions can be visually represented as parabolas on a graph, which means they can have an upward or downward opening. They also exhibit interesting properties like symmetry about their vertex. If you ever want to graph one, look for the vertex and the axis of symmetry—it’s like drawing a super cool roller coaster in the sky!

¡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