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Vertical & Horizontal Translations

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Practice: Vertical & Horizontal Translations

The function y=f(x) y=f(x)~has been transformed to y=f(x−h)+ky=f(x-h)+k. Determine the values of h and k for each of the following transformations:
A.
h=−3 & k=3     ∴ y=f(x+3)+3h=-3~\&~k=3~~~~~\therefore~y=f(x+3)+3
B.
k=3    ∴ y=f(x)+3k=3~~~~\therefore~y=f(x)+3
C.
h=−2     ∴ y=f(x+2)h=-2~~~~~\therefore~y=f(x+2)
D.
h=9 & k=−9     ∴ y=f(x−9)−9h=9~\&~k=-9~~~~~\therefore~y=f(x-9)-9
3 units upward
2 units left
9 units downward and 9 units right
3 units left and 3 units upward
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Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
Let (a,b) (a, b)~be some point on the function y=f(2x+4)+3y=f(2x+4)+3.
Vertical & Horizontal Translations
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Let (3,−5) (3, -5)~be some point on the function y=−f(1−x)+3y=-f(1-x)+3.
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Let f(x)=x2f(x)=x^2.
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Vertical & Horizontal Translations
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Let f(x)=x3f(x)=x^3.
True or False:
Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
The function y=f(x) y=f(x)~has been transformed to y=f(x−h)+ky=f(x-h)+k. Determine the values of h and k for each of the following transformations:
More Translations Questions:
Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
Let (a,b) (a, b)~be some point on the function y=f(2x+4)+3y=f(2x+4)+3.
Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
Let (3,−5) (3, -5)~be some point on the function y=−f(1−x)+3y=-f(1-x)+3.
Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
Let f(x)=x2f(x)=x^2.
True or False:
Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
Let f(x)=x3f(x)=x^3.
True or False:
Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
The function y=f(x) y=f(x)~has been transformed to y=f(x−h)+ky=f(x-h)+k. Determine the values of h and k for each of the following transformations:
More Vertical & Horizontal Translations Questions:
Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
Let (a,b) (a, b)~be some point on the function y=f(2x+4)+3y=f(2x+4)+3.
Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
Let (3,−5) (3, -5)~be some point on the function y=−f(1−x)+3y=-f(1-x)+3.
Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
Let f(x)=x2f(x)=x^2.
True or False:
Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
Let f(x)=x3f(x)=x^3.
True or False:
Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
The function y=f(x) y=f(x)~has been transformed to y=f(x−h)+ky=f(x-h)+k. Determine the values of h and k for each of the following transformations:
More Translations Questions:
Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
Let (a,b) (a, b)~be some point on the function y=f(2x+4)+3y=f(2x+4)+3.
Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
Let (3,−5) (3, -5)~be some point on the function y=−f(1−x)+3y=-f(1-x)+3.
Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
Let f(x)=x2f(x)=x^2.
True or False:
Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
Let f(x)=x3f(x)=x^3.
True or False:
Vertical & Horizontal Translations
Practice: Vertical & Horizontal Translations
The function y=f(x) y=f(x)~has been transformed to y=f(x−h)+ky=f(x-h)+k. Determine the values of h and k for each of the following transformations: