Parent Functions
Translations
Dilations & Reflections
Mixed
Mixed
100
Name the parent function.
g(x)= 1/x
Rational Function
100
Describe the translation.
g(x)=x+7
Shift Left 7 OR Shift Up 7
100
Name the transformation.
g(x)=1/3(x)^2
Vertical shrink by a factor of
1/3
100
Name the transformations.
g(x)=-(x)^2+8
Reflection over the x-axis, up 8
100
Name the transformations.
g(x)=-|x+15|
Reflection over the x-axis, horizontal shift left 15.
200
Name the parent function.
Quadratic
200
Describe the translation.
g(x)=(x-3)^2+5
Shift Right 3 and Up 5
200
Name the transformation.
g(x)=|5x|
Horizontal shrink by a factor of
g(x)=1/5
200
Name the transformations.
g(x)=1/3(x-9)^3
Vertical shrink by a factor of 1/3, horizontal shift right or 9
200
Name the transformations.
g(x)=(7/5x)^3-11
Horizontal shrink by a factor of 5/7, vertical shift down 11.
300
Name the parent function.
g(x)=|x-7|
Absolute Value Function
300
Describe the translation.
g(x)=e^(x-3)
Shift Right 3
300
Name the transformation.
g(x)=-3|x|
Reflection over the x-axis and vertical stretch by a factor of 3.
300
Describe the transformations.
g(x)=-sin(x+6)
Reflection over the x-axis, Horizontal shift left 6.
300
Name the transformations.
g(x)=cos(-(x-5))+2
Horizontal reflection over the y-axis, horizontal shift right 5, vertical shift up 2
400
Name the parent function.
Square Root Function
400
Describe the translation.
g(x)=|x+0.3|-0.4
Shift Left 0.3 and Down 0.4
400
Name the transformation.
g(x)=-1/2|x|
Reflection over the x-axis and vertical shrink by a factor of 1/2.
400
Name the transformations.
g(x)=-sqrt(3(x-8))-2
Reflection over the x-axis, Horizontal shrink by a factor of 1/3, Horizontal shift right 8 and Vertical shift down 2.
400
Name the transformations.
g(x)=-sqrt(x+12)-8
Reflection over the x-axis, Horizontal shift left 2, Vertical shift down 8
500
Name the parent function.
Greatest Integer Function
500
Describe the translation.
g(x)=sqrt(x+2)+5
Shift Left 2 and Up 5
500
Name the transformations.
g(x)=1/4e^(-7x)
Vertical shrink by a factor of 1/4. Reflection over the y-axis and horizontal shrink by a factor of 1/7.
500
Name the transformations.
g(x)=-cos(-5(x+7))+4
Reflection over the x-axis, Reflection over the y-axis, Horizontal shrink 1/5, Horizontal shift left 7, Vertical shift up 4
500
Describe the transformation.
g(x)=1/7(-(x-1))^3-3/8
Vertical shrink by a factor of 1/7, Reflection over the y-axis, Horizontal shift left 1, Vertical shift down 3/8