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Mathematics
10th -
12thgrade
Rational Functions and Transformations of Functions
24 questions
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- 1. Multiple ChoiceHow is this function transformed from the parent function?Translated left and upTranslated right and upTranslated left and downTranslated right and down
- 2. Multiple ChoiceWhat is the horizontal asymptote?x = 2x = 7y = 2y = 7
- 3. Multiple ChoiceWhat is the horizontal asymptote of the function given?y = 2x = 1x = 2y = -1
- 4. Multiple Choice
What are the asymptotes?
g(x) = 4 / (x - 5)
x = 5
x = 5 & y = 0
x = -5 & y = 4
None
- 5. Multiple ChoiceWhat are the asymptotes?x=-3, y=1x=3, y =1x=-3, y =-1x=3 y=-1
- 6. Multiple ChoiceWhat is the vertical asymptote?x = 2x = 7y = 2y = 7
- 7. Multiple ChoiceWhat is the horizontal asymptote?x = 2x = 7y = 2y = 7
- 8. Multiple ChoiceDescribe all transformations from the parent function g(x)=1/x to f(x).Shift right 5 and shift up 7Shift left 7 and shift up 5Reflect over the x-axis, shift up 7Shift left 5 and shift up 7
- 9. Multiple Choice
What would be the denominator of the function?
x+2
x+1
x-1
x-2
- 10. Multiple ChoiceDescribe the transformation of y = f(x) for the new function
y = 1/5f(x)The graph of y = f(x) compressed horizontally by a factor of 1/5The graph of y = f(x) was stretched horizontally by a factor of 5The graph of y = f(x) was compressed vertically by a factor of 1/5The graph of y = f(x) was stretched vertically by a factor of 5 - 11. Multiple Choice
Describe the transformation of y = f(x) for the new function
y = - f(x)
The graph of y = f(x) was reflected across the x axis.
The graph of y = f(x) was reflected across the y axis.
The graph of y = f(x) was translated down.
The graph of y = f(x) was translated up
- 12. Multiple Choice
Describe the transformation of y = g(x) for the function
y = 3g(x - 3) + 5
Translated up 5 units
Translated right 3 units
Stretched vertically by a factor of 3
Translated up 5 units
Translated left 3 units
Stretched vertically by a factor of 3
Translated down 5 units
Translated left 3 units
Stretched vertically by a factor of 3
Translated down 5 units
Translated left 3 units
Stretched vertically by a factor of 1/3
- 13. Multiple ChoiceWhich equation describes the transformation of shifting f(x)=x3 seven units up?x3+7x3-7(x-7)3(x+7)3
- 14. Multiple ChoiceWhich equation describes the transformation of shifting f(x)=x3 three units left?x3 + 3x3 - 3(x + 3)3(x - 3)3
- 15. Multiple Choicewhat is the equation that best matches the graph?ABCD
- 16. Multiple ChoiceWhat is the horizontal asymptote to this function?y=4y=0y=-2y=1
- 17. Multiple ChoiceWhat is the horizontal asymptote of this function?y=2x=1/2y=1y=1/2
- 18. Multiple Choice
What is the equation of the rational function graphed?
- 19. Multiple Choice
Find the y-intercept.
(0, -2)
(0, 2)
(0, 4)
it is undefined
- 20. Multiple ChoiceIf the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?-f(x)f(-x)f-1(x)f(2x)
- 21. Multiple ChoiceThe blue function is the original function f(x) = x3. Which of the following is the correct equation for the red function, g(x)?g(x)=x3+1g(x)=x3-1g(x)=(x-1)3g(x)=(x+1)3
- 22. Multiple Choicef(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)g(x)=2f(x)g(x)=0.5f(x)g(x)=f(x) + 2g(x)=f(x + 2)
- 23. Multiple ChoiceThe vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?(-2, 5)(-6, 5)(-4, 3)(-4, 7)
- 24. Multiple ChoiceThe original function has equation f(x). State the transformations given the new function f(x) = ⅔(x - 7)2Vertical Shrink of ⅔
Right 7Horizontal Shrink of ⅔
Left 7Left ⅔
Vertical stretch of 7Right ⅔
Horizontal stretch of 7 - Answer choicesTagsAnswer choicesTags