Jeopardy Final Jeopardy Parent Functions Equations Stats Other $100 Transformations Equations Stats Other $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 Final Jeopardy

Parent Functions - $100 Identify the parent function: F(x)=-(x+2)3+7

Parent Functions - $200 Find the domain and range of the following function. D: all real #’s and R: y is greater than or equal to 1

Parent Functions - $300 Find the domain and range of the function below. D: x is greater than or equal to -3 R: y is greater than or equal to 1

Parent Functions - $400 What is the equation for the following graph?

Parent Functions - $500 Graph the following equation:

Describe the transformations on f(x) y=f(x)+4 Move up 4

Describe the transformations on f(x): y=f(x-3)+5 Move 3 right and up 5

Describe the transformations on f(x) y= -5f(x+2)+1 Reflection over the x-axis, vertical stretch by a factor of 5, move 2 units to the left and 1 unit up

Describe the transformations on f(x) y= ½*f(-x)+9 Vertical compression by a factor of ½, reflection over the y-axis, move up 9

Describe the transformations on f(x) y= -f(-1/3x)-5 Reflection over x-axis, reflection over y-axis, horizontal compression by a factor of 1/3 and down 5.

Equations - $100 Find the new equation if y=x2 is moved 4 units left and 2 units up. y=(x+4)2+2

Equations - $200 Write a new equation, g(x), for each function after undergoing the given transformations F(x)=x3 Reflected over the x-axis and moved 5 units down G(x)=-x3-5

Equations - $300 Write a new equation, g(x), for each function after undergoing the given transformations F(x)=x2 Stretched vertically by a factor of 7 and moved down 3.5 G(x)=7x2 -3.5

Equations - $400 Write a new equation, g(x), for each function after undergoing the given transformations f(x)=x5 Reflection over the x-axis, left 7 and down 9, and a vertical stretch of 2 g(x)=-2(x+7)5-9

Equations - $500 Write a new equation, g(x), for each function after undergoing the given transformations f(x)=sin(x) Reflection over x-axis, reflection over y-axis and up 7.5 g(x)=-sin(-x)+7.5

Stats - $100 What type of correlation is shown below? Negative correlation

Stats - $200 Given the linear regression y=2.5x+7 find the predicted value for the data if x=8 27

Stats - $300 Calculate the linear regression line for the data x 1 y 4 2 7 3 13 15 5 22 6 24 29 8 31 9 35 10 42 Calculate the linear regression line for the data Y=4.073x-0.2

Stats - $400 Interpret the residuals below for the linear regression A linear regression model does not seem appropriate, but since there is a pattern in the residuals, another model may be appropriate.

Stats - $500 How do you calculate residuals and what do they tell you? Residuals are calculated by subtracting the actual value and the predicted value (found using the regression line). The residuals reveal if the regression line is a good fit and can be used for predictions in the future. It shows how closely the data fits the model.

Other - $100 The point (5, -3) is reflected across the x-axis, what are the coordinates of the new point? (5, 3)

Other - $200 Describe the transformation for the following graph. Reflection over the x-axis, left 3, and up 4

Other - $300 What is the equation for the transformed function. F(x)=-(x+3)2+4

Other - $400 Sketch a graph of data in which a linear regression line would not be appropriate. Answers will vary

Other - $500 On your graphing calculator, if the points do not show up on the graph what are 2 possible problems? 1) the stat plot needs to be on 2) the window needs to be appropriate 3) the data may have been entered wrong

Final Jeopardy Graph and state the domain and range. D: All real #’s R: all real #’s