3.3 Assignment (Module 4 Topic 2)

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10 questions

Describe how the function has been translated.
(It may not show up as correct until I review your answers)

{f(x)=\sqrt[3]{x+5}-4}

{g(x)=\sqrt[3]{x-11}+6}

{g(x)=-2\sqrt{x}+4}

{h(x)=\frac{1}{2}\sqrt{x-9}}

{j(x)=-\frac{1}{3}\sqrt[3]{x}-1}

Write the equation of the function given the transformations

3.3 Assignment (Module 4 Topic 2)

3.3 Assignment (Module 4 Topic 2)

{f(x)=\sqrt[3]{x+5}-4}

{g(x)=\sqrt[3]{x-11}+6}

{g(x)=-2\sqrt{x}+4}

{h(x)=\frac{1}{2}\sqrt{x-9}}

{j(x)=-\frac{1}{3}\sqrt[3]{x}-1}

{f(x)=\sqrt{x}}
Translate {f(x)} right 5 units and up 1 unit

{g(x)=\sqrt[3]{x}}
Translate {g(x)} left 6 units and down 11 units

{f(x)=\sqrt{x}}
Translate {f(x)} up 7 units, and vertically stretch by a factor of 2

{g(x)=\sqrt[3]{x}}
Reflect {g(x)} over the x-axis, and translate 8 units right

{f(x)=\sqrt{x}}
Reflect {f(x)} over the x-axis, vertically compress by a factor of \frac{1}{3}, and translate left 3 units

{f(x)=\sqrt[3]{x+5}-4}

{g(x)=\sqrt[3]{x-11}+6}

{g(x)=-2\sqrt{x}+4}

{h(x)=\frac{1}{2}\sqrt{x-9}}

{j(x)=-\frac{1}{3}\sqrt[3]{x}-1}

{f(x)=\sqrt{x}}
Translate {f(x)} right 5 units and up 1 unit

{g(x)=\sqrt[3]{x}}
Translate {g(x)} left 6 units and down 11 units

{f(x)=\sqrt{x}}
Translate {f(x)} up 7 units, and vertically stretch by a factor of 2

{g(x)=\sqrt[3]{x}}
Reflect {g(x)} over the x-axis, and translate 8 units right

{f(x)=\sqrt{x}}
Reflect {f(x)} over the x-axis, vertically compress by a factor of \frac{1}{3}, and translate left 3 units

3.3 Assignment (Module 4 Topic 2)

3.3 Assignment (Module 4 Topic 2)

{f(x)=\sqrt[3]{x+5}-4}

{g(x)=\sqrt[3]{x-11}+6}

{g(x)=-2\sqrt{x}+4}

{h(x)=\frac{1}{2}\sqrt{x-9}}

{j(x)=-\frac{1}{3}\sqrt[3]{x}-1}

{f(x)=\sqrt{x}}Translate {f(x)} right 5 units and up 1 unit

{g(x)=\sqrt[3]{x}}Translate {g(x)} left 6 units and down 11 units

{f(x)=\sqrt{x}}Translate {f(x)} up 7 units, and vertically stretch by a factor of 2

{g(x)=\sqrt[3]{x}}Reflect {g(x)} over the x-axis, and translate 8 units right

{f(x)=\sqrt{x}}Reflect {f(x)} over the x-axis, vertically compress by a factor of \frac{1}{3}, and translate left 3 units

{f(x)=\sqrt[3]{x+5}-4}

{g(x)=\sqrt[3]{x-11}+6}

{g(x)=-2\sqrt{x}+4}

{h(x)=\frac{1}{2}\sqrt{x-9}}

{j(x)=-\frac{1}{3}\sqrt[3]{x}-1}

{f(x)=\sqrt{x}}Translate {f(x)} right 5 units and up 1 unit

{g(x)=\sqrt[3]{x}}Translate {g(x)} left 6 units and down 11 units

{f(x)=\sqrt{x}}Translate {f(x)} up 7 units, and vertically stretch by a factor of 2

{g(x)=\sqrt[3]{x}}Reflect {g(x)} over the x-axis, and translate 8 units right

{f(x)=\sqrt{x}}Reflect {f(x)} over the x-axis, vertically compress by a factor of \frac{1}{3}, and translate left 3 units

{f(x)=\sqrt{x}}
Translate {f(x)} right 5 units and up 1 unit

{g(x)=\sqrt[3]{x}}
Translate {g(x)} left 6 units and down 11 units

{f(x)=\sqrt{x}}
Translate {f(x)} up 7 units, and vertically stretch by a factor of 2

{g(x)=\sqrt[3]{x}}
Reflect {g(x)} over the x-axis, and translate 8 units right

{f(x)=\sqrt{x}}
Reflect {f(x)} over the x-axis, vertically compress by a factor of \frac{1}{3}, and translate left 3 units

{f(x)=\sqrt{x}}
Translate {f(x)} right 5 units and up 1 unit

{g(x)=\sqrt[3]{x}}
Translate {g(x)} left 6 units and down 11 units

{f(x)=\sqrt{x}}
Translate {f(x)} up 7 units, and vertically stretch by a factor of 2

{g(x)=\sqrt[3]{x}}
Reflect {g(x)} over the x-axis, and translate 8 units right

{f(x)=\sqrt{x}}
Reflect {f(x)} over the x-axis, vertically compress by a factor of \frac{1}{3}, and translate left 3 units