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- 1. Multiple Choice
What are the transformations of this functions compared to the parent function y = √(x)?Shifted right 5, shifted down 2, and reflected over the x-axisReflected over the x-axis, vertical stretch, and shifted right 5Reflected over the x-axis, vertical stretch, and shifted left 5Shifted right 5, shifted down 2 - 2. Multiple ChoiceWhat are the transformations to the graph compared to the parent function y=√(x)?Shifted right 2, shifted up 3, and reflected over the y-axisShifted left 2, shifted up 3, and reflected over the y-axisShifted left 2, shifted up 3, and reflected over the x-axisShifted right 2, shifted up 3, and reflected over the x-axis
- 3. Multiple ChoiceDescribe the transformation of y = f(x) for the new function
y = f(x) - 5The graph of y = f(x) was shifted to the right 5 units.The graph of y = f(x) was shifted to the left 5 units.The graph of y = f(x) was shifted up 5 units.The graph of y = f(x) was shifted down 5 units. - 4. Multiple ChoiceWhich equation describes the transformation of shifting f(x)=x2 two units right?x2 + 2x2 - 2(x + 2)2(x - 2)2
- 5. Multiple ChoiceWhat are the transformations?
y=3(x-4)2?horz shift right 4, vert stretch by a factor of 3horz shift left 4, vert stretch by a factor of 3horz shift right 4, vert stretch by a factor of 1/3horz shift right 4, vert shift up 3 - 6. Multiple ChoiceDescribe the transformation of y = f(x) for the new function
f(x) = ⅔(x - 7)2Shrink of ⅔
Right 7Shrink of ⅔
Left 7Stretch of ⅔
Right 7Stretch of ⅔
Left 7 - 7. Multiple ChoiceDescribe the transformation of y = f(x) for the new function
f(x) = 5x2 + 2Stretch of 5
Up 2Shrink of 5
Up 2Stretch of 5
Down 2Shrink of 5
Down 2 - 8. Multiple ChoiceGiven f(x) = (x-3)2 + 5. What transformations took place from the original function f(x)?Left 3 and up 5Right 3 and down 5Left 3 and down 5Right 3 and up 5
- 9. 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)
- 10. 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
- 11. Multiple ChoiceIdentify the transformation from the graph of f(x)=x2 to the graph g(x)= -(x+5)2shifted up five units
reflection in x-axisshifted down five units
reflection in x-axisshifted left 5 units
reflection x-axisshifted right 5 units
reflection x-axis - 12. 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 - 13. Multiple ChoiceIf the original function is f(x) then state the transformation that takes f(x) to g(x) = |-x + 3|Reflect over y-axis
Left 3Reflect over y-axis
Right 3Reflect over x-axis
Left 3Reflect over x-axis
Right 3 - 14. 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)
- 15. Multiple ChoiceDescribe the transformations that maps
y = g(x) to y = - g(x + 6) - 10Reflect over y-axis
Shifted down 10 units
Shifted left 6 unitsReflect over x-axis
Shifted up 10 units
Shifted left 6 unitsReflect over y-axis
Shifted up 10 units
Shifted right 6 unitsReflect over x-axis
Shifted down 10 units
Shifted left 6 units - 16. Multiple ChoiceDescribe the transformation of y = f(x) to the new function
y = f(1/5x)Horizontal shrink by a factor of 1/5Vertical stretch be a factor of 5Vertically shrink by a factor of 1/5Horizontal stretch by a factor of 5 - Answer choicesTagsAnswer choicesTags