Have an account?
Skip to Content
Mathematics
10th -
12thgrade
Rational Functions and Transformations of Functions
24 questions
Show Answers
See Preview
- Multiple ChoicePlease save your changes before editing any questions.How is this function transformed from the parent function?Translated left and upTranslated right and upTranslated left and downTranslated right and down
- Multiple ChoicePlease save your changes before editing any questions.What is the horizontal asymptote?x = 2x = 7y = 2y = 7
- Multiple ChoicePlease save your changes before editing any questions.What is the horizontal asymptote of the function given?y = 2x = 1x = 2y = -1
- Multiple ChoicePlease save your changes before editing any questions.
What are the asymptotes?
g(x) = 4 / (x - 5)
x = 5
x = 5 & y = 0
x = -5 & y = 4
None
- Multiple ChoicePlease save your changes before editing any questions.What are the asymptotes?x=-3, y=1x=3, y =1x=-3, y =-1x=3 y=-1
- Multiple ChoicePlease save your changes before editing any questions.What is the vertical asymptote?x = 2x = 7y = 2y = 7
- Multiple ChoicePlease save your changes before editing any questions.What is the horizontal asymptote?x = 2x = 7y = 2y = 7
- Multiple ChoicePlease save your changes before editing any questions.Describe 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
- Multiple ChoicePlease save your changes before editing any questions.
What would be the denominator of the function?
x+2
x+1
x-1
x-2
- Multiple ChoicePlease save your changes before editing any questions.Describe 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 - Multiple ChoicePlease save your changes before editing any questions.
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
- Multiple ChoicePlease save your changes before editing any questions.
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
- Multiple ChoicePlease save your changes before editing any questions.Which equation describes the transformation of shifting f(x)=x3 seven units up?x3+7x3-7(x-7)3(x+7)3
- Multiple ChoicePlease save your changes before editing any questions.Which equation describes the transformation of shifting f(x)=x3 three units left?x3 + 3x3 - 3(x + 3)3(x - 3)3
- Multiple ChoicePlease save your changes before editing any questions.what is the equation that best matches the graph?ABCD
- Multiple ChoicePlease save your changes before editing any questions.What is the horizontal asymptote to this function?y=4y=0y=-2y=1
- Multiple ChoicePlease save your changes before editing any questions.What is the horizontal asymptote of this function?y=2x=1/2y=1y=1/2
- Multiple ChoicePlease save your changes before editing any questions.
What is the equation of the rational function graphed?
- Multiple ChoicePlease save your changes before editing any questions.
Find the y-intercept.
(0, -2)
(0, 2)
(0, 4)
it is undefined
- Multiple ChoicePlease save your changes before editing any questions.If 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)
- Multiple ChoicePlease save your changes before editing any questions.The 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
- Multiple ChoicePlease save your changes before editing any questions.f(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)
- Multiple ChoicePlease save your changes before editing any questions.The 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)
- Multiple ChoicePlease save your changes before editing any questions.The 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