\( f(x)=x^{2} \) \( g(x)=x^{2}-8 \) We can think of \( g \) as a translated (shifted) version of \( f \). Complete the description of the transformation. Use nonnegative numbers. To get the function \( g \), shift \( f \) up/down/left/right \( \checkmark \) by units.
Solución de inteligencia artificial de Upstudy
Responder
Solución

¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

Respondido por UpStudy AI y revisado por un tutor profesional
Bonus Knowledge
To get the function \( g \), shift \( f \) down by 8 units. This means you are taking the original quadratic function \( f(x) = x^2 \) and lowering its entire graph by 8 units on the y-axis, resulting in the new function \( g(x) = x^2 - 8 \). This shifting transformation keeps the shape of the parabola intact but merely moves it vertically, allowing you to easily visualize how the same mathematical concept can have varying outputs based on simple adjustments to its position on the graph.
