The number of secure Internet servers in the United States from 2009 to 2013 can be modeled by a quadratic function. The graph below approximates the number of secure internet servers, s, per 1 million people, for a given year, where trepresents the years since 2009. Which of the following functions best models the number of secure Internet servers in the United States per 1 million people between 2009 and 2013?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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  1. The number of secure Internet servers in the United States from 2009 to 2013 can be modeled by a quadratic function. The graph below approximates the number of secure internet servers, s, per 1 million people, for a given year, where trepresents the years since 2009. Which of the following functions best models the number of secure Internet servers in the United States per 1 million people between 2009 and 2013?
The image displays a graph with the horizontal axis labeled \( t \) and the vertical axis labeled \( s \).

**Axes:**
- The horizontal axis (x-axis) represents the variable \( t \), with markings from \(-0.5\) to \(4.0\), and intervals of \(0.5\).
- The vertical axis (y-axis) represents the variable \( s \), with markings from \(0\) to \(1500\) in increments of \(500\).

**Graph Line:**
- The curve depicted starts slightly above \(500\) on the \( y \)-axis at \( t = 0 \).
- It rises to a peak slightly above \(1500\) between \( t = 1.5 \) and \( t = 2.0 \).
- After reaching the peak, it descends back towards the \( y \)-axis value of \(500\) as \( t \) approaches \(4.0\).

This graph likely represents a parabolic function, illustrating the typical rise and fall pattern of such curves. The exact nature of the variables \( s \) and \( t \) would depend on the specific context, such as physics, economics, or another field of study.
Transcribed Image Text:The image displays a graph with the horizontal axis labeled \( t \) and the vertical axis labeled \( s \). **Axes:** - The horizontal axis (x-axis) represents the variable \( t \), with markings from \(-0.5\) to \(4.0\), and intervals of \(0.5\). - The vertical axis (y-axis) represents the variable \( s \), with markings from \(0\) to \(1500\) in increments of \(500\). **Graph Line:** - The curve depicted starts slightly above \(500\) on the \( y \)-axis at \( t = 0 \). - It rises to a peak slightly above \(1500\) between \( t = 1.5 \) and \( t = 2.0 \). - After reaching the peak, it descends back towards the \( y \)-axis value of \(500\) as \( t \) approaches \(4.0\). This graph likely represents a parabolic function, illustrating the typical rise and fall pattern of such curves. The exact nature of the variables \( s \) and \( t \) would depend on the specific context, such as physics, economics, or another field of study.
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