Checkpoint - Function Stretching and Shrinking

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

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

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

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

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

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

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

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.

•  $m\left(x\right)=3x^2$  

•  $q\left(x\right)=-0.4x^2$  

•  $n\left(x\right)=\frac{5}{2}x^2$  

•  $f\left(x\right)=\frac{1}{2}x^2$  

•  $w\left(x\right)=0.15x^2$  

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.

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