Honors Algebra 2: Chapter 1 and 2a Review

Transcription

1 Honors Algebra : Chapter 1 and a Review Vocabular: Be able to thoroughl eplain each of the following terms within the contet of this chapter: Parent Function Stretch Line of Best Fit Correlation Transformation Translation Regression Correlation Coefficient Compression Reflection Domain Range Verte Form of a Quadratic Function Ais of Smmetr Standard Form of a Quadratic Equation Maimum or Minimum Value of a Quadratic NO CALCULATOR ALLOWED 1. Perform the given translation to the graph shown. a) 5 units left, 4 units down b) Reflection across the -ais 1 1 c) Horizontal compression b a factor of 1. The following graph shows the velocit of a car over a 6 hour period. Sketch a new graph to represent each situation below and identif the transformation of the original graph that it represents. a) The velocit is increased b 15 mi/hr. Velocit (mi/hr) Velocit (mi/hr) b) The velocit is increased b 0% c) The time is decreased b half. Velocit (mi/hr) Velocit (mi/hr)

2 . Identif the parent function for g () from each equation below. Then, describe what transformation of the original function it represents. Graph g () and give the domain and range. a) g( ) = b) g( ) = ( + ) - 6 c) g( ) =- + 4 d) g( ) = ( + ) Let g () be the indicated transformations of f ( ) =. Write the equation of g (). a) Reflection across the -ais, vertical stretch b a factor of 9, horizontal translation 5 units left. b) A Horizontal stretch b a factor of 5, vertical stretch b a factor of, right 7 and up Let k () be the indicated transformations of h( ) =. Write the equation for k (). a) Horizontal stretch b a factor of 4, vertical compression b a factor of 5, and a vertical translation 8 up. b) Horizontal compression b a factor of 7, a vertical stretch b a factor of 8, 14 down, and 1 right. 10

3 1 6. Consider the function g( ) =- ( - 5) + 8 a) What is the line of smmetr for g ()? b) What is the verte of g (). c) Does g () open up or down? Eplain. d) Graph g () e) Does g () have a maimum or a minimum? Eplain. f) What is the maimum (or minimum) of g (). g) What is the domain and range of g ()? 7. Consider the function ( ) h = a) Find the line of smmetr b) Find the verte c) Find the -intercept d) Graph the function including at least points. e) What is the domain and range of h ()? For questions 8 10, identif the parent function equation and the transformation(s). 8. g( ) = ( + ) 9. h( ) = k( ) = +

4 For questions 11 and 1, identif the parent function that best approimates the data set Graph the relationship from ear to sales in millions of dollars and identif which parent function best describes it. Then use the graph to estimate when cumulative sales reached $10 million. Year Sales (million $) CALCULATOR ALLOWED 14. Consider the function ( ) g = a) Does this function have a maimum or a minimum? Eplain. b) Find the maimum (or minimum) of the function. c) What is the domain and range of this function? 15. If the points in a scatterplot have positive correlation, then the r-value is. 16. If the points in a scatterplot have negative correlation, then the r-value is. 17. If the equation of the line of best fit is = , which of the following could be the r-value? A) 1.08 B) 0.76 C) 0.89 D) 1.5

5 18. The table shows the price of a technolog stock over 5 das. a) Make a scatterplot of the data. Da Price ($) b) Find the line of best fit for the data. c) Find the correlation coefficient. d) What does the slope of the line ou found in part b represent in the contet of this problem? e) Using our equation from part b, predict the price of the technolog stock in two weeks. How accurate do ou think our prediction is? f) Using our equation from part b, predict the da the price will hit $5. How accurate do ou think our prediction is? [Optional] Need More Practice? Tr the following from our tetbook Page #1-9 Page 41 #6 onl Page 4 #4 8 Page 44 #9 11 Page 45 #17 Page 109 #1-9