g ( x ) g\left(x\right) g ( x ) is a vertical translation of f ( x ) f\left(x\right) f ( x ) up 3. Which equation relates g ( x ) g\left(x\right) g ( x ) and f ( x ) f\left(x\right) f ( x ) ?

g ( x ) = f ( x ) + 3 g\left(x\right)=f\left(x\right)+3 g ( x ) = f ( x ) + 3

g ( x ) = f ( x ) − 3 g\left(x\right)=f\left(x\right)-3 g ( x ) = f ( x ) − 3

g ( x ) = f ( x + 3 ) g\left(x\right)=f\left(x+3\right) g ( x ) = f ( x + 3 )

g ( x ) = f ( x − 3 ) g\left(x\right)=f\left(x-3\right) g ( x ) = f ( x − 3 )

g ( x ) g\left(x\right) g ( x ) is a vertical translation of f ( x ) f\left(x\right) f ( x ) down 7. Which equation relates g ( x ) g\left(x\right) g ( x ) and f ( x ) f\left(x\right) f ( x ) ?

g ( x ) = f ( x ) − 7 g\left(x\right)=f\left(x\right)-7 g ( x ) = f ( x ) − 7

g ( x ) = f ( x ) + 7 g\left(x\right)=f\left(x\right)+7 g ( x ) = f ( x ) + 7

g ( x ) = f ( x + 7 ) g\left(x\right)=f\left(x+7\right) g ( x ) = f ( x + 7 )

g ( x ) = f ( x − 7 ) g\left(x\right)=f\left(x-7\right) g ( x ) = f ( x − 7 )

g ( x ) g\left(x\right) g ( x ) is a horizontal translation of f ( x ) f\left(x\right) f ( x ) left 2. Which equation relates g ( x ) g\left(x\right) g ( x ) and f ( x ) f\left(x\right) f ( x ) ?

g ( x ) = f ( x + 2 ) g\left(x\right)=f\left(x+2\right) g ( x ) = f ( x + 2 )

g ( x ) = f ( x ) + 2 g\left(x\right)=f\left(x\right)+2 g ( x ) = f ( x ) + 2

g ( x ) = f ( x ) − 2 g\left(x\right)=f\left(x\right)-2 g ( x ) = f ( x ) − 2

g ( x ) = f ( x − 2 ) g\left(x\right)=f\left(x-2\right) g ( x ) = f ( x − 2 )

g ( x ) g\left(x\right) g ( x ) is a horizontal translation of f ( x ) f\left(x\right) f ( x ) right 4. Which equation relates g ( x ) g\left(x\right) g ( x ) and f ( x ) f\left(x\right) f ( x ) ?

g ( x ) = f ( x − 4 ) g\left(x\right)=f\left(x-4\right) g ( x ) = f ( x − 4 )

g ( x ) = f ( x ) + 4 g\left(x\right)=f\left(x\right)+4 g ( x ) = f ( x ) + 4

g ( x ) = f ( x ) − 4 g\left(x\right)=f\left(x\right)-4 g ( x ) = f ( x ) − 4

g ( x ) = f ( x + 4 ) g\left(x\right)=f\left(x+4\right) g ( x ) = f ( x + 4 )

g ( x ) g\left(x\right) g ( x ) is a reflection across the x-axis of f ( x ) f\left(x\right) f ( x ) . Which equation relates g ( x ) g\left(x\right) g ( x ) and f ( x ) f\left(x\right) f ( x ) ?

g ( x ) = − f ( x ) g\left(x\right)=-f\left(x\right) g ( x ) = − f ( x )

g ( x ) = f ( − x ) g\left(x\right)=f\left(-x\right) g ( x ) = f ( − x )

g ( x ) g\left(x\right) g ( x ) is a reflection across the y-axis of f ( x ) f\left(x\right) f ( x ) . Which equation relates g ( x ) g\left(x\right) g ( x ) and f ( x ) f\left(x\right) f ( x ) ?

g ( x ) = f ( − x ) g\left(x\right)=f\left(-x\right) g ( x ) = f ( − x )

g ( x ) = − f ( x ) g\left(x\right)=-f\left(x\right) g ( x ) = − f ( x )

p ( x ) p\left(x\right) p ( x ) is a vertical translation of q ( x ) q\left(x\right) q ( x ) down 2 and a horizontal translation right 8. Which equation relates p ( x ) p\left(x\right) p ( x ) and q ( x ) q\left(x\right) q ( x ) ?

p ( x ) = q ( x − 8 ) − 2 p\left(x\right)=q\left(x-8\right)-2 p ( x ) = q ( x − 8 ) − 2

p ( x ) = q ( x + 8 ) − 2 p\left(x\right)=q\left(x+8\right)-2 p ( x ) = q ( x + 8 ) − 2

p ( x ) = q ( x − 2 ) − 8 p\left(x\right)=q\left(x-2\right)-8 p ( x ) = q ( x − 2 ) − 8

p ( x ) = q ( x − 2 ) + 8 p\left(x\right)=q\left(x-2\right)+8 p ( x ) = q ( x − 2 ) + 8

p ( x ) p\left(x\right) p ( x ) is a vertical translation of q ( x ) q\left(x\right) q ( x ) up 5 and a horizontal translation right 3. Which equation relates p ( x ) p\left(x\right) p ( x ) and q ( x ) q\left(x\right) q ( x ) ?

p ( x ) = q ( x − 3 ) + 5 p\left(x\right)=q\left(x-3\right)+5 p ( x ) = q ( x − 3 ) + 5

p ( x ) = q ( x − 5 ) − 3 p\left(x\right)=q\left(x-5\right)-3 p ( x ) = q ( x − 5 ) − 3

p ( x ) = q ( x + 5 ) − 3 p\left(x\right)=q\left(x+5\right)-3 p ( x ) = q ( x + 5 ) − 3

p ( x ) = q ( x − 3 ) − 5 p\left(x\right)=q\left(x-3\right)-5 p ( x ) = q ( x − 3 ) − 5

k ( x ) k\left(x\right) k ( x ) is a horizontal translation of j ( x ) j\left(x\right) j ( x ) left 6 and a reflection across the x-axis. Which equation relates k ( x ) k\left(x\right) k ( x ) and j ( x ) j\left(x\right) j ( x ) ?

k ( x ) = − j ( x + 6 ) k\left(x\right)=-j\left(x+6\right) k ( x ) = − j ( x + 6 )

k ( x ) = j ( − x + 6 ) k\left(x\right)=j\left(-x+6\right) k ( x ) = j ( − x + 6 )

k ( x ) = − j ( x − 6 ) k\left(x\right)=-j\left(x-6\right) k ( x ) = − j ( x − 6 )

k ( x ) = j ( − x − 6 ) k\left(x\right)=j\left(-x-6\right) k ( x ) = j ( − x − 6 )

k ( x ) k\left(x\right) k ( x ) is a vertical translation of j ( x ) j\left(x\right) j ( x ) up 1 and a reflection across the y-axis. Which equation relates k ( x ) k\left(x\right) k ( x ) and j ( x ) j\left(x\right) j ( x ) ?

k ( x ) = j ( − x ) + 1 k\left(x\right)=j\left(-x\right)+1 k ( x ) = j ( − x ) + 1

k ( x ) = j ( − x ) − 1 k\left(x\right)=j\left(-x\right)-1 k ( x ) = j ( − x ) − 1

k ( x ) = − j ( x ) + 1 k\left(x\right)=-j\left(x\right)+1 k ( x ) = − j ( x ) + 1

k ( x ) = − j ( x ) − 1 k\left(x\right)=-j\left(x\right)-1 k ( x ) = − j ( x ) − 1

Translations and Reflections of Functions

Authored by Mike Gisondo

Mathematics

8th - 12th Grade

CCSS covered

Used 95+ times

Translations and Reflections of Functions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$g\left(x\right)$ is a vertical translation of $f\left(x\right)$ up 3. Which equation relates $g\left(x\right)$ and $f\left(x\right)$ ?

$g\left(x\right)=f\left(x\right)+3$

$g\left(x\right)=f\left(x\right)-3$

$g\left(x\right)=f\left(x+3\right)$

$g\left(x\right)=f\left(x-3\right)$

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$g\left(x\right)$ is a vertical translation of $f\left(x\right)$ down 7. Which equation relates $g\left(x\right)$ and $f\left(x\right)$ ?

$g\left(x\right)=f\left(x\right)+7$

$g\left(x\right)=f\left(x\right)-7$

$g\left(x\right)=f\left(x+7\right)$

$g\left(x\right)=f\left(x-7\right)$

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$g\left(x\right)$ is a horizontal translation of $f\left(x\right)$ left 2. Which equation relates $g\left(x\right)$ and $f\left(x\right)$ ?

$g\left(x\right)=f\left(x\right)+2$

$g\left(x\right)=f\left(x\right)-2$

$g\left(x\right)=f\left(x+2\right)$

$g\left(x\right)=f\left(x-2\right)$

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$g\left(x\right)$ is a horizontal translation of $f\left(x\right)$ right 4. Which equation relates $g\left(x\right)$ and $f\left(x\right)$ ?

$g\left(x\right)=f\left(x\right)+4$

$g\left(x\right)=f\left(x\right)-4$

$g\left(x\right)=f\left(x+4\right)$

$g\left(x\right)=f\left(x-4\right)$

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$g\left(x\right)$ is a reflection across the x-axis of $f\left(x\right)$ . Which equation relates $g\left(x\right)$ and $f\left(x\right)$ ?

$g\left(x\right)=-f\left(x\right)$

$g\left(x\right)=f\left(-x\right)$

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$g\left(x\right)$ is a reflection across the y-axis of $f\left(x\right)$ . Which equation relates $g\left(x\right)$ and $f\left(x\right)$ ?

$g\left(x\right)=-f\left(x\right)$

$g\left(x\right)=f\left(-x\right)$

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$p\left(x\right)$ is a vertical translation of $q\left(x\right)$ down 2 and a horizontal translation right 8. Which equation relates $p\left(x\right)$ and $q\left(x\right)$ ?

$p\left(x\right)=q\left(x-8\right)-2$

$p\left(x\right)=q\left(x+8\right)-2$

$p\left(x\right)=q\left(x-2\right)-8$

$p\left(x\right)=q\left(x-2\right)+8$

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$p\left(x\right)$ is a vertical translation of $q\left(x\right)$ up 5 and a horizontal translation right 3. Which equation relates $p\left(x\right)$ and $q\left(x\right)$ ?

$p\left(x\right)=q\left(x-5\right)-3$

$p\left(x\right)=q\left(x+5\right)-3$

$p\left(x\right)=q\left(x-3\right)-5$

$p\left(x\right)=q\left(x-3\right)+5$

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$k\left(x\right)$ is a horizontal translation of $j\left(x\right)$ left 6 and a reflection across the x-axis. Which equation relates $k\left(x\right)$ and $j\left(x\right)$ ?

$k\left(x\right)=-j\left(x+6\right)$

$k\left(x\right)=j\left(-x+6\right)$

$k\left(x\right)=-j\left(x-6\right)$

$k\left(x\right)=j\left(-x-6\right)$

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$k\left(x\right)$ is a vertical translation of $j\left(x\right)$ up 1 and a reflection across the y-axis. Which equation relates $k\left(x\right)$ and $j\left(x\right)$ ?

$k\left(x\right)=j\left(-x\right)+1$

$k\left(x\right)=j\left(-x\right)-1$

$k\left(x\right)=-j\left(x\right)+1$

$k\left(x\right)=-j\left(x\right)-1$

Tags

CCSS.HSF.BF.B.3

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Translations and Reflections of Functions

g(x)g\left(x\right)g(x) is a vertical translation of f(x)f\left(x\right)f(x) up 3. Which equation relates g(x)g\left(x\right)g(x) and f(x)f\left(x\right)f(x) ?

g(x)g\left(x\right)g(x) is a vertical translation of f(x)f\left(x\right)f(x) down 7. Which equation relates g(x)g\left(x\right)g(x) and f(x)f\left(x\right)f(x) ?

g(x)g\left(x\right)g(x) is a horizontal translation of f(x)f\left(x\right)f(x) left 2. Which equation relates g(x)g\left(x\right)g(x) and f(x)f\left(x\right)f(x) ?

g(x)g\left(x\right)g(x) is a horizontal translation of f(x)f\left(x\right)f(x) right 4. Which equation relates g(x)g\left(x\right)g(x) and f(x)f\left(x\right)f(x) ?

g(x)g\left(x\right)g(x) is a reflection across the x-axis of f(x)f\left(x\right)f(x) . Which equation relates g(x)g\left(x\right)g(x) and f(x)f\left(x\right)f(x) ?

g(x)g\left(x\right)g(x) is a reflection across the y-axis of f(x)f\left(x\right)f(x) . Which equation relates g(x)g\left(x\right)g(x) and f(x)f\left(x\right)f(x) ?

p(x)p\left(x\right)p(x) is a vertical translation of q(x)q\left(x\right)q(x) down 2 and a horizontal translation right 8. Which equation relates p(x)p\left(x\right)p(x) and q(x)q\left(x\right)q(x) ?

p(x)p\left(x\right)p(x) is a vertical translation of q(x)q\left(x\right)q(x) up 5 and a horizontal translation right 3. Which equation relates p(x)p\left(x\right)p(x) and q(x)q\left(x\right)q(x) ?

k(x)k\left(x\right)k(x) is a horizontal translation of j(x)j\left(x\right)j(x) left 6 and a reflection across the x-axis. Which equation relates k(x)k\left(x\right)k(x) and j(x)j\left(x\right)j(x) ?

k(x)k\left(x\right)k(x) is a vertical translation of j(x)j\left(x\right)j(x) up 1 and a reflection across the y-axis. Which equation relates k(x)k\left(x\right)k(x) and j(x)j\left(x\right)j(x) ?

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$g\left(x\right)$ is a vertical translation of $f\left(x\right)$ up 3. Which equation relates $g\left(x\right)$ and $f\left(x\right)$ ?

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$g\left(x\right)$ is a reflection across the y-axis of $f\left(x\right)$ . Which equation relates $g\left(x\right)$ and $f\left(x\right)$ ?

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