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Translations of Functions

Authored by Wayground Content

Mathematics

11th Grade

Used 17+ times

Translations of Functions
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17 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If a function is translated right 1 unit and up 5 units, what is the equation of the transformed function?

@@f(x) = (x - 1) + 5@@

@@f(x) = (x + 1) + 5@@

@@f(x) = (x - 1) + 3@@

@@f(x) = (x + 1) + 3@@

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the equation for the translation of @@f(x)=|x|@@ that moves up 6 units?

@@f(x)=|x|+6@@

@@f(x)=|x|-6@@

@@f(x)=|x|+3@@

@@f(x)=|x|+2@@

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If f(x) = 2x+5 is translated right 2 units, what is the new equation?

@@2(x-2)+5@@

@@2x+5+2@@

@@2(x+2)+5@@

@@2x+5-2@@

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the new equation of @@f(x)=\frac{1}{x}@@ after translating it 2 units down?

@@f(x)=\frac{1}{x}-2@@

@@f(x)=\frac{1}{x}+2@@

@@f(x)=\frac{1}{x}-1@@

@@f(x)=\frac{1}{x}-3@@

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What would the transformed equation of @@y=x^{2 ext{ }}+4x+3@@ be with a horizontal shift to the left 2 units?

@@y=ig(x+2ig)^{2 ext{ }}+4ig(x+2ig)+3@@

@@y=x^{2}+4x+3+2@@

@@y=ig(x-2ig)^{2 ext{ }}+4ig(x-2ig)+3@@

@@y=ig(x+2ig)^{2 ext{ }}+4ig(x+2ig)+5@@

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the effect of a horizontal translation on the graph of a function?

It shifts the graph up or down depending on the value added or subtracted.

It shifts the graph left or right depending on the sign of the value added or subtracted.

It reflects the graph over the x-axis.

It stretches the graph vertically or horizontally.

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