Pregunta
Analyze the effect on the graph of \( f(x)=\log x \) when \( f(x) \) is replaced by \( f(x)+3.2 \). For Response 1 , enter 1 for horizontally and 2 for vertically. For Response 3 , enter 1 for up, 2 for down, 3 for to the left, and 4 for to the right. (2 points)
Ask by Fowler O'Quinn. in the United States
Feb 26,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The graph shifts upward by 3.2 units.
Response 1: 2 (vertical)
Response 3: 1 (up)
Solución
f(x) is replaced by f(x) + 3.2, which shifts the graph vertically by 3.2 units (upward).
Response 1: 2 (vertical)
Response 3: 1 (up)
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
Response 1: 2 Response 3: 1 When you replace \( f(x) \) with \( f(x) + 3.2 \), you're shifting the graph vertically. Specifically, every point on the graph of \( f(x) = \log x \) moves up by 3.2 units. This means the overall shape and position of the logarithmic curve remains the same, but every part of it is elevated, creating a new graph that retains the curve's behavior while simply being positioned higher on the y-axis!
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