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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.
k=8    ∴ y=f(x)+8k=8~~~~\therefore~y=f(x)+8
B.
h=−8     ∴ y=f(x+8)h=-8~~~~~\therefore~y=f(x+8)
C.
h=10 & k=−10     ∴ y=f(x−10)−10h=10~\&~k=-10~~~~~\therefore~y=f(x-10)-10
D.
h=−13 & k=13     ∴ y=f(x+13)+13h=-13~\&~k=13~~~~~\therefore~y=f(x+13)+13
8 units upward
8 units left
10 units downward and 10 units right
13 units left and 13 units upward
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Vertical & Horizontal Translations
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Let (a,b) (a, b)~be some point on the function y=f(2x+4)+3y=f(2x+4)+3.
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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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Let f(x)=x3f(x)=x^3.
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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:
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: