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- 1. Multiple Choice
Choose the equation of the quadratic function that is translated 6 units up, 2 units right, and is vertically stretched by a factor of 3 from the parent function.
f(x) = 3(x - 2)2+6
f(x) = 6(x + 2)2+3
f(x) = 3(x + 2)2 + 6
f(x) = 6(x - 2)2-3
- 2. Multiple Choice
Choose the equation of the quadratic function that is reflected over the x-axis and translated down 3.
f(x) = -x2 + 3
f(x) = -x2 -3
f(x) = -(x-3)2
f(x) = -(x+3)2
- 3. Multiple Choice
Use transformations to identify the equation of the graph shown.
f(x) = (x - 5)2 - 2
f(x) = (x + 5)2 - 2
f(x) = (x - 5)2 + 2
f(x) = (x + 5)2 + 2
- 4. Multiple Choice
Use transformations to identify the equation of the graph shown.
f(x) = (x + 3)2 - 8
f(x) = 3(x + 3)2 - 8
f(x) = (x - 3)2 - 8
f(x) = 2(x - 3)2 - 8
- 5. Multiple ChoiceWhich transformation will occur if f(x) = x2 is replaced with 2⋅f(x)?
Wider
Narrower
Vertical translation up by 2 units.Reflection across the x-axis. - 6. Multiple ChoiceWhich transformation will occur if f(x) = x2 is replaced with f(x) + 2?
Translation left 2 units
Narrower
Vertical translation up by 2 units.Reflection across the x-axis. - 7. Multiple ChoiceWhich transformation will occur if f(x) = x2 is replaced with -f(x)?Nothing happens, it stays the same.
Narrower
Vertical translation up by 2 units.Reflection across the x-axis. - 8. Multiple Choicef(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)g(x)=f(x - 3)g(x)=f(x) - 3g(x)=f(x) + 3g(x)=3f(x)
- 9. Multiple ChoiceWhat is the equation of the quadratic function obtained from vertically shrinking/compressing the parent function by 3/5 and then shifted up 8 units?f(x)= 3/5(x-8)2f(x)=3/5x2+8f(x)=x2f(x)=3/5x2-8
- 10. Multiple ChoiceWhat is the equation of the quadratic function obtained from horizontally shifting the parent function 17 units left and then reflecting across the x-axis?f(x)= -x2-17f(x)= -(x-17)2f(x)= -(x+17)2f(x)= -x2+17
- 11. Multiple ChoiceWhat is the equation of the quadratic function obtained from vertically stretching the parent function by a factor of 2 and then vertically shifting up 3 units?f(x)= 2(x-3)2f(x)= 2(x+3)2f(x)= 2x2+3f(x)= (x-2)2+3
- 12. Multiple ChoiceWhat is the equation of the quadratic function obtained from vertically shrinking/compressing the parent function by a factor of 0.5 and then reflecting across the x-axis?f(x)= 0.5x2f(x)= -0.5x2f(x)= -(x-0.5)2f(x)= x2+0.5
- 13. Multiple ChoiceMatch the equation to its description.Right 2 and up 2Left 2 and up 2Right 2 and down 2Left 2 and down 2
- 14. Multiple ChoiceIn the graph of the function y=x², which describes a vertical shift in the parent function up 5 units?y = x2 - 5y = x2 + 5y = (x - 5)2y = (x + 5)2
- 15. Multiple ChoiceIf the blue is f(x)=x2, then the red must beg(x)=x2-5g(x)=x2+5g(x)=(x-5)2g(x)=(x+5)2
- 16. Multiple ChoiceIf the blue is f(x)=x2, the red must beg(x)=(x+3)2g(x)=(x-3)2g(x)=x2+3g(x)=x2-2
- 17. 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 - 18. Multiple ChoiceIdentify the transformations.horizontal shift to the left 2 and vertical stretch by a factor of 3horizontal shift to the right 2 and vertical stretch by a factor of 3horizontal shift to the right 2 and vertical shrink by a factor of 3horizontal shift to the left 2 and vertical shrink by a factor of 3
- 19. 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 - 20. Multiple Choice
What is the vertex?
(3, 1)
(0, 1)
(1, 3)
No vertex
- 21. Multiple ChoiceIf the blue is f(x)=x2, then the red must beg(x)=x2-5g(x)=x2+5g(x)=(x-5)2g(x)=(x+5)2
- 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 Choicef(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)g(x)=f(x + 3)g(x)=f(x - 3)g(x)=f(x) + 3g(x)=f(x) - 2
- 24. Multiple Choice
Write the equation of the quadratic function. (parabola)
y = x2 - 6
y = x2 + 6
y = ( x - 6 )2
y = ( x + 6 )2
- 25. Multiple Choice
Write the equation of the quadratic function. (parabola)
y = x2 - 5
y = x2 + 5
y = ( x - 5 )2
y = ( x + 5 )2
- 26. Multiple Choice
Write the equation of the quadratic function. (parabola)
y = x2 - 1
y = x2 + 1
y = ( x - 1 )2
y = ( x + 1 )2
- 27. Multiple Choice
Write the equation of the quadratic function. (parabola)
y = x2 - 5
y = x2 + 5
y = ( x - 5 )2
y = ( x + 5 )2
- 28. Multiple Choice#1. 2f(x)vertical compressionvertical stretchhorizontal compressionhorizontal stretch
- 29. Multiple ChoiceWho is Harry Potter's best friend?Draco MalfoyCedric DiggoryRonald WeasleySeamus Finnigan
- 30. Multiple ChoiceWhat is the domain of the graph?y≥1x ≥ 1All real numbersnone of these
- 31. Multiple ChoiceWhat is the proper domain?x≥0y≥0All real numbers{0, 1, 2, 3, 4,...}
- 32. Multiple ChoiceWhat is the range?-3 < y ≤ 3-4 ≤ y < 5-4 ≤ y ≤ 5-3 < y ≤ 3
- 33. 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)
- 34. Multiple ChoiceDescribe the transformations of f(x) when compared to the parent function.
f(x)=x2+5horizontal shift right 5 unitshorizontal shift left 5 unitsvertical shift up 5 unitsvertical shift down 5 units - 35. Multiple ChoiceDescribe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)2horizontal shift left 7 unitshorizontal shift right 7 unitsvertical shift up 7 unitsvertical shift down 7 units - 36. Multiple ChoiceIn the equation f(x)=5(x+3)2-10 what effect does the 5 do when compared to the parent function?Vertical stretch by a factor of 5Vertical shrink/compress by a factor of 5Reflect over x-axisVertical shift up 5 units
- 37. Multiple ChoiceWhich transformation transforms the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?a vertical shift 4 units upa vertical shift 4 units downa horizontal shift 4 units to the lefta horizontal shift 4 units to the right - 38. Multiple Choice
Gracie's service club is raising money by wrapping presents in the mall. The function f(x) = 3x describes the amount of money, in dollars, the club will earn for wrapping x presents. They only have enough wrapping paper to wrap 1000 presents. Which best represents the domain?
1000 ≤ x ≤ 0
x ≥ 1000
0 ≤ x ≤ 1000
x ≤ 3000
- 39. Multiple ChoiceIn an exponential function, what does the 'a' represent?SLOPERATE OF CHANGEY-INTERCEPTCOMMON RATIO
- 40. Multiple ChoiceThe value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?.081.08.928
- 41. Multiple ChoiceWhich of the following functions shows an initial amount of $15 and an increase of 35% each year?y = 15(35)xy = 15(1.35)xy = 15(0.35)xy = 35(1.15)x
- 42. Multiple ChoiceClassify the model as Exponential GROWTH or DECAY.
A=1200(.85)6GrowthDecay - 43. Multiple ChoiceFind the slope of the line that passes through the points (2, 4) and (6, 12)1/2-1/22-2
- 44. Multiple ChoiceWhat direction is an undefined slope?horizontalvertical
- 45. Multiple ChoiceIs this point a max or min?maxmin
- 46. Multiple ChoiceIs this mapping a function or not a function?FunctionNot a Function
- 47. Multiple ChoiceGiven f(x) = -4x - 10 and f(x) = 10. Find xx = -5x = 5x = -50x = 30
- 48. Multiple ChoiceFor the function f(x) = -3(x-1) find f(0).0-33-1
- 49. Multiple ChoiceName the x-intercept(s)?0420 and 4
- 50. Multiple ChoiceWhat is the x- intercept of the line?(0,-2)(0,-1)(-1,0)(-2,0)
- Answer choicesTagsAnswer choicesTags