Question 1

Describe the transformation : $f(x) = (x-5)^3 + 7$

Accepted Answer

right 5, up 7

Answer

left 5, down 7

Answer

right 5, down 7

Answer

left 5, up 7

Question 2

Describe the transformation: $f(x) = \sqrt[3]{x+4} -8$

Accepted Answer

left 4, down 8

Answer

right 4, down 8

Answer

left 4, up 8

Answer

right 8, up 4

Question 3

Describe the transformation: $f(x) =- \sqrt[3]{x+6} -5$

Accepted Answer

x-axis reflection, left 6, down 5

Answer

right 6, down 5

Answer

x-axis reflection, right 5, up 6

Answer

left 6, down 5

Question 4

Describe the transformation: $f(x) = 3 \sqrt[3]{x+4}-6$

Accepted Answer

left 4, down 6, and vertical stretch by a factor of 3

Answer

right 4, down 6 vertical compression 3

Answer

left 4 down 6 vertical compression 3

Answer

right 4 up 6 vertical stretch 3

Question 5

Write the equation for the cubic function with an x-axis reflection, a vertical stretch by a factor of 2, translated down 5.

Accepted Answer

$f(x) = -2 \sqrt[3]{x}-5$

Answer

$f(x) = \sqrt[3]{-2x-5}$

Answer

$f(x) = \sqrt[3]{-2x}-5$

Answer

$f(x) = 2 \sqrt[3]{x}-5$

Question 6

Write the equation of the function $f(x) = \sqrt[3]{x}$ translated down 2 and 5 right.

Accepted Answer

$\sqrt[3]{x-5}-2$

Answer

$\sqrt[3]{x-5-2}$

Answer

$\sqrt[3]{x}-5-2$

Answer

$\sqrt[3]{x+5}+2$

Question 7

Write an equation of the function $f(x) = x^3$ reflected across the x-axis, with a vertical compression by a factor of $1/3$.

Accepted Answer

$f(x) = -1/3x^3$

Answer

$f(x) =-3x^3$

Answer

$f(x) = (-1/3x)^3$

Answer

$f(x) = 3x^3$

Question 8

Write the equation of the function $f(x)= x^3$ shifted left 3 and down 5.

Accepted Answer

$f(x) = (x+3)^3-5$

Answer

$f(x) = (x+5)^3-3$

Answer

$f(x) = (x+3)^3 +5$

Answer

$f(x) = (x-3)^3 -5$

Question 9

Write an equation for the function $f(x)= x^3$ with an x-axis reflection, translated left three and up four.

Accepted Answer

$f(x) = -(x+3)^3+4$

Answer

$f(x) = (-x+3)^3+4$

Answer

$f(x) = -(x+3)^3-4$

Answer

$f(x) = -(x-3)^3+4$

Question 10

Describe the transformation: $f(x) = \sqrt[3]{-8x}$

Accepted Answer

y axis reflection and horizontal compression

Answer

x axis reflection and vertical compression

Answer

x axis reflection and vertical stretch

Answer

x axis reflection and down 8

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