3. Show all the steps to complete the square and factor the expression -2x2 + 9x 4. A quadratic function s(x) has its vertex at (6,3) and passes through the origin. Find the equation of s(x) is general form.

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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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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2. Consider the scatterplots below. Each shows a set of data values. For each, decide if it would best be modeled by a linear model or a nonlinear model.

   - The first scatterplot demonstrates a clear U-shape, indicating that the data would be best described by a nonlinear model, likely quadratic.
   
   - The second scatterplot shows a linear pattern where the data points align closely along a straight line. This suggests that a linear model is most suitable.
   
   - The third scatterplot displays a scattered arrangement without an obvious linear or quadratic trend, suggesting complexity or randomness in the data that may not fit neatly into a simple linear or nonlinear model.

3. Show all the steps to complete the square and factor the expression \(-2x^2 + 9x\).

4. A quadratic function \(s(x)\) has its vertex at (6,3) and passes through the origin. Find the equation of \(s(x)\) in general form.

5. In the graph below two functions are shown, \(p(x)\) is a quadratic function and \(q(x)\) is a linear function.
Transcribed Image Text:2. Consider the scatterplots below. Each shows a set of data values. For each, decide if it would best be modeled by a linear model or a nonlinear model. - The first scatterplot demonstrates a clear U-shape, indicating that the data would be best described by a nonlinear model, likely quadratic. - The second scatterplot shows a linear pattern where the data points align closely along a straight line. This suggests that a linear model is most suitable. - The third scatterplot displays a scattered arrangement without an obvious linear or quadratic trend, suggesting complexity or randomness in the data that may not fit neatly into a simple linear or nonlinear model. 3. Show all the steps to complete the square and factor the expression \(-2x^2 + 9x\). 4. A quadratic function \(s(x)\) has its vertex at (6,3) and passes through the origin. Find the equation of \(s(x)\) in general form. 5. In the graph below two functions are shown, \(p(x)\) is a quadratic function and \(q(x)\) is a linear function.
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