Translations
Describe the translation.
f(x)=x-4
Shift Right 4 OR Shift Down 4
Name the transformation.
f(x)=2x^2
Stretch vertically by a factor of 2.
Name the transformations.
f(x)=(x-2)^2+5
Shift right 2, up 5
Name the Parent Function.
f(x)=2|x+12|
Absolute Value
f(x)=|x|
Describe the translation.
f(x)=(x-2)^2+4
Shift Right 2 and Up 4
Name the transformation.
f(x)=1/3|x|
Vertical shrink by a factor of 1/3.
Name the transformations.
f(x)=2(x-1)^2
Vertical stretch by a factor of 2, horizontal shift right 1
Name the Parent Function.
f(x)=3/2x^2+1
Quadratic
f(x)=x^2
Describe the translation.
f(x)=(x+2)^2
Shift Left 2
Name the transformation.
f(x)=-2|x|
Reflection over the x-axis and vertical stretch by a factor of 2.
Describe the transformations.
f(x)=-1/4x^2-6
Name the Parent Function.
f(x)=(x-7)^2+pi
Quadratic.
f(x)=x^2
Describe the translation.
f(x)=|x-2|+3
Shift Right 2 and Up 3
Name the transformation.
f(x)=-2x^2
Reflection over the x-axis and vertical stretch by a factor of 2.
Name the transformations.
f(x)=2sqrt(x)-9
Vertical stretch by a factor of 2 and vertical shift down 9.
Name the Parent Function.
f(x)=1/4(x-1)^3-5/2
Cubic.
f(x)=x^3
Describe the translation.
g(x)=f(x-4)+7
Shift Right 4 and Up 7
Name the transformations.
f(x)=2(-x)^2
Vertical stretch by a factor of 2 and reflect over the y-axis.
Name the transformations.
g(x)=1/5f(x)-8
Vertical shrink by a factor of 1/5 and a vertical shift down 8.
Name the Parent Function.
g(x)=sin(x-pi)
Sine / Trigonometric.
g(x)=sin(x)