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JeopardyJeopardy
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Parent Functions
Transformations Equations Stats Other
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Final JeopardyFinal Jeopardy
Parent Functions - $100Parent Functions - $100
Identify the parent function: Identify the parent function: F(x)=-(x+2)F(x)=-(x+2)33+7+7
F(x)=xF(x)=x33
Parent Functions - $200Parent Functions - $200 Find the domain and range of the following Find the domain and range of the following
function. function.
D: all real #’s and R: y is greater than or D: all real #’s and R: y is greater than or equal to 1equal to 1
Parent Functions - $300Parent Functions - $300 Find the domain and range of the function Find the domain and range of the function
below. below.
D: x is greater than or equal to -3D: x is greater than or equal to -3 R: y is greater than or equal to 1R: y is greater than or equal to 1
Parent Functions - $400Parent Functions - $400 What is the equation for the following What is the equation for the following
graph?graph?
Parent Functions - $500Parent Functions - $500
Graph the following equation:
Transformations- $100Transformations- $100
Describe the Describe the transformations on f(x)transformations on f(x)
y=f(x)+4y=f(x)+4 Move up 4Move up 4
Transformations - $200Transformations - $200
Describe the Describe the transformations on transformations on f(x):f(x):
y=f(x-3)+5y=f(x-3)+5 Move 3 right and up 5Move 3 right and up 5
Transformations - $300Transformations - $300
Describe the Describe the transformations on f(x)transformations on f(x)
y= -5f(x+2)+1y= -5f(x+2)+1 Reflection over the x-axis, vertical stretch Reflection over the x-axis, vertical stretch
by a factor of 5, move 2 units to the left by a factor of 5, move 2 units to the left and 1 unit upand 1 unit up
Transformations - $400Transformations - $400
Describe the Describe the transformations on f(x)transformations on f(x)
y= ½*f(-x)+9y= ½*f(-x)+9 Vertical compression by a factor of ½, Vertical compression by a factor of ½,
reflection over the y-axis, move up 9reflection over the y-axis, move up 9
Transformations - $500Transformations - $500
Describe the Describe the transformations on f(x)transformations on f(x)
y= -f(-1/3x)-5y= -f(-1/3x)-5 Reflection over x-axis, reflection over y-Reflection over x-axis, reflection over y-
axis, horizontal compression by a factor of axis, horizontal compression by a factor of 1/3 and down 5. 1/3 and down 5.
Equations - $100Equations - $100
Find the new equation if y=xFind the new equation if y=x22 is is moved 4 units left and 2 units moved 4 units left and 2 units up. up.
y=(x+4)y=(x+4)22+2+2
Equations - $200Equations - $200Write a new equation, g(x), for
each function after undergoing the given transformations
F(x)=x3
Reflected over the x-axis and Reflected over the x-axis and moved 5 units downmoved 5 units down
G(x)=-xG(x)=-x33-5-5
Equations - $300Equations - $300Write a new equation, g(x),
for each function after undergoing the given transformations
F(x)=xF(x)=x22
Stretched vertically by a factor of Stretched vertically by a factor of 7 and moved down 3.57 and moved down 3.5
G(x)=7xG(x)=7x2 2 -3.5-3.5
Equations - $400Equations - $400Write a new equation, g(x), for
each function after undergoing the given transformations
f(x)=xf(x)=x55
Reflection over the x-axis, left 7 Reflection over the x-axis, left 7 and down 9, and a vertical and down 9, and a vertical stretch of 2stretch of 2
g(x)=-2(x+7)g(x)=-2(x+7)55-9-9
Equations - $500Equations - $500Write a new equation, g(x),
for each function after undergoing the given transformations
f(x)=sin(x)f(x)=sin(x) Reflection over x-axis, reflection Reflection over x-axis, reflection
over y-axis and up 7.5over y-axis and up 7.5 g(x)=-sin(-x)+7.5g(x)=-sin(-x)+7.5
Stats - $100Stats - $100 What type of correlation is shown below? What type of correlation is shown below?
Negative correlationNegative correlation
Stats - $200Stats - $200
Given the linear regression Given the linear regression y=2.5x+7 find the predicted y=2.5x+7 find the predicted value for the data if x=8value for the data if x=8
2727
Stats - $300Stats - $300 Calculate the linear Calculate the linear
regression line for the regression line for the datadata
Y=4.073x-0.2Y=4.073x-0.2
x1
y4
2 73 134 155 226 247 298 319 3510 42
Stats - $400Stats - $400 Interpret the residuals below for the linear Interpret the residuals below for the linear
regressionregression
A linear regression model does not seem A linear regression model does not seem appropriate, but since there is a pattern in appropriate, but since there is a pattern in the residuals, another model may be the residuals, another model may be appropriate.appropriate.
Stats - $500Stats - $500
How do you calculate residuals and How do you calculate residuals and what do they tell you? what do they tell you?
Residuals are calculated by subtracting the Residuals are calculated by subtracting the actual value and the predicted value actual value and the predicted value (found using the regression line). The (found using the regression line). The residuals reveal if the regression line is a residuals reveal if the regression line is a good fit and can be used for predictions in good fit and can be used for predictions in the future. It shows how closely the data the future. It shows how closely the data fits the model. fits the model.
Other - $100Other - $100
The point (5, -3) is reflected The point (5, -3) is reflected across the x-axis, what are across the x-axis, what are the coordinates of the new the coordinates of the new point? point?
(5, 3)(5, 3)
Other - $200Other - $200 Describe the transformation for the following Describe the transformation for the following
graph. graph. Reflection Reflection
over the x-over the x-axis, left 3, axis, left 3, and up 4and up 4
Other - $300Other - $300 What is the What is the
equation for the equation for the transformed transformed function. function.
F(x)=-(x+3)F(x)=-(x+3)22+4+4
Other - $400Other - $400
Sketch a graph of data in which a linear Sketch a graph of data in which a linear regression line would not be appropriate. regression line would not be appropriate.
Answers will varyAnswers will vary
Other - $500Other - $500
On your graphing calculator, if the points On your graphing calculator, if the points do not show up on the graph what are 2 do not show up on the graph what are 2 possible problems? possible problems?
1) the stat plot needs to be on1) the stat plot needs to be on 2) the window needs to be appropriate2) the window needs to be appropriate 3) the data may have been entered wrong3) the data may have been entered wrong
Final JeopardyFinal Jeopardy
Graph and state the domain and range. Graph and state the domain and range.
D: All real #’sD: All real #’s R: all real #’sR: all real #’s
