The parent function of a set of graphs is g ( x ) = x g\left(x\right)=\sqrt{x} g ( x ) = x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> . Which function represents a vertical shrink with a reflection?

k ( x ) = − 3 4 x k\left(x\right)=-\frac{3}{4}\sqrt{x} k ( x ) = − 4 3 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

k ( x ) = 5 6 x k\left(x\right)=\frac{5}{6}\sqrt{x} k ( x ) = 6 5 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

k ( x ) = − 2 x k\left(x\right)=-2\sqrt{x} k ( x ) = − 2 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

k ( x ) = 6 x k\left(x\right)=6\sqrt{x} k ( x ) = 6 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

The parent function of a set of graphs is g ( x ) = x g\left(x\right)=\sqrt{x} g ( x ) = x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> . Which function represents a vertical stretch with a reflection?

k ( x ) = − 2 x k\left(x\right)=-2\sqrt{x} k ( x ) = − 2 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

k ( x ) = 5 6 x k\left(x\right)=\frac{5}{6}\sqrt{x} k ( x ) = 6 5 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

k ( x ) = − 3 4 x k\left(x\right)=-\frac{3}{4}\sqrt{x} k ( x ) = − 4 3 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

k ( x ) = 6 x k\left(x\right)=6\sqrt{x} k ( x ) = 6 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Checkpoint - Function Stretching and Shrinking

Authored by Wilfredo Echeverría

Mathematics

9th Grade

CCSS covered

Used 35+ times

Checkpoint - Function Stretching and Shrinking

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10 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which function is represented by the values in the table?

$f\left(x\right)=x^2+5$

$f\left(x\right)=5x$

$f\left(x\right)=3x^2+5$

$f\left(x\right)=x+5$

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The parent function of a set of graphs is $g\left(x\right)=\sqrt{x}$ . Which function represents a vertical shrink with a reflection?

$k\left(x\right)=\frac{5}{6}\sqrt{x}$

$k\left(x\right)=-2\sqrt{x}$

$k\left(x\right)=-\frac{3}{4}\sqrt{x}$

$k\left(x\right)=6\sqrt{x}$

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The function $f\left(x\right)$ was reflected over the y-axis and vertically stretched with a scale factor of 5 and shifted 4 units down. Which rule describes this transformation?

$f\left(-5x\right)-4$

$5f\left(-x\right)+4$

$-5f\left(x-4\right)$

$5f\left(-x\right)-4$

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which function is represented by the values in the table?

$f\left(x\right)=x^2+7$

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

$f\left(x\right)=2x^2+7$

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The parent function of a set of graphs is $g\left(x\right)=\sqrt{x}$ . Which function represents a vertical stretch with a reflection?

$k\left(x\right)=\frac{5}{6}\sqrt{x}$

$k\left(x\right)=-2\sqrt{x}$

$k\left(x\right)=-\frac{3}{4}\sqrt{x}$

$k\left(x\right)=6\sqrt{x}$

Tags

CCSS.HSF-IF.C.7B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The function $f\left(x\right)$ was reflected over the x-axis and vertically stretched with a scale factor of 3 and shifted 8 units up. Which rule describes this transformation?

$f\left(-3x\right)+8$

$3f\left(-x\right)+8$

$-3f\left(x-8\right)$

$-3f\left(x\right)+8$

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which function is represented by the values in the table?

$f\left(x\right)=x^2+3$

$f\left(x\right)=\frac{1}{2}x+3$

$f\left(x\right)=2x^2+3$

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

MULTIPLE SELECT QUESTION

1 min • 1 pt

The parent function of a set of graphs is $p\left(x\right)=x^2$ . Which functions represent a vertical shrink with no reflection? Mark ALL that apply.

$m\left(x\right)=3x^2$

$q\left(x\right)=-0.4x^2$

$n\left(x\right)=\frac{5}{2}x^2$

$f\left(x\right)=\frac{1}{2}x^2$

$w\left(x\right)=0.15x^2$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Johnny graphed three points to create $d\left(x\right)$ . He then multiplied all of the output values by a constant value to create $a\left(x\right)$ . Describe the change from $d\left(x\right)$ to $a\left(x\right)$ .

A vertical stretch and a reflection over the x-axis.

A vertical shrink and a reflection over the x-axis.

A vertical stretch and a reflection over the y-axis.

A vertical shrink and a reflection over the y-axis.

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The function $f\left(x\right)$ was translated 2 units up and vertically shrunk with a scale factor of 0.5. Which rule describes this transformation?

$f\left(0.5x\right)+2$

$f\left(0.5x+2\right)$

$0.5f\left(x+2\right)$

$0.5f\left(x\right)+2$

Tags

CCSS.HSF.BF.B.3

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Checkpoint - Function Stretching and Shrinking

Which function is represented by the values in the table?

The parent function of a set of graphs is g(x)=xg\left(x\right)=\sqrt{x}g(x)=x​ . Which function represents a vertical shrink with a reflection?

The function f\left(x\right)f(x) was reflected over the y-axis and vertically stretched with a scale factor of 5 and shifted 4 units down. Which rule describes this transformation?

Which function is represented by the values in the table?

The parent function of a set of graphs is g(x)=xg\left(x\right)=\sqrt{x}g(x)=x​ . Which function represents a vertical stretch with a reflection?

The function f\left(x\right)f(x) was reflected over the x-axis and vertically stretched with a scale factor of 3 and shifted 8 units up. Which rule describes this transformation?

Which function is represented by the values in the table?

The parent function of a set of graphs is p(x)=x2p\left(x\right)=x^2p(x)=x2 . Which functions represent a vertical shrink with no reflection? Mark ALL that apply.

Johnny graphed three points to create d(x)d\left(x\right)d(x) . He then multiplied all of the output values by a constant value to create a(x)a\left(x\right)a(x) . Describe the change from d(x)d\left(x\right)d(x) to a(x)a\left(x\right)a(x) .

The function f\left(x\right)f(x) was translated 2 units up and vertically shrunk with a scale factor of 0.5. Which rule describes this transformation?

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The parent function of a set of graphs is $g\left(x\right)=\sqrt{x}$ . Which function represents a vertical shrink with a reflection?

The function $f\left(x\right)$ was reflected over the y-axis and vertically stretched with a scale factor of 5 and shifted 4 units down. Which rule describes this transformation?

The parent function of a set of graphs is $g\left(x\right)=\sqrt{x}$ . Which function represents a vertical stretch with a reflection?

The function $f\left(x\right)$ was reflected over the x-axis and vertically stretched with a scale factor of 3 and shifted 8 units up. Which rule describes this transformation?

The parent function of a set of graphs is $p\left(x\right)=x^2$ . Which functions represent a vertical shrink with no reflection? Mark ALL that apply.

Johnny graphed three points to create $d\left(x\right)$ . He then multiplied all of the output values by a constant value to create $a\left(x\right)$ . Describe the change from $d\left(x\right)$ to $a\left(x\right)$ .

The function $f\left(x\right)$ was translated 2 units up and vertically shrunk with a scale factor of 0.5. Which rule describes this transformation?