Stretching Or Shrinking A Graph Practice Test

Stretching or Compressing a Graph Practice Test:

#1:

Instructions: Find the transformation from f(x) to g(x).

$$a)\hspace{.2em}$$ $$f(x)=|x|$$ $$g(x)=\left|\frac{1}{3}x\right|$$ Desmos Link for More Detail Graphing f and g

$$b)\hspace{.2em}$$ $$f(x)=\sqrt{x}$$ $$g(x)=\frac{1}{2}\sqrt{x}$$ Desmos Link for More Detail Graphing f and g

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#2:

Instructions: Find the transformation from f(x) to g(x).

$$a)\hspace{.2em}$$ $$f(x)=x^3$$ $$g(x)=\left(\frac{1}{3}x\right)^3$$ Desmos Link for More Detail Graphing f and g

$$b)\hspace{.2em}$$ $$f(x)=[x]$$ $$g(x)=3[x]$$ Desmos Link for More Detail Graphing f and g

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#3:

Instructions: Find the transformation from f(x) to g(x).

$$a)\hspace{.2em}$$ $$f(x)=\frac{1}{x}$$ $$g(x)=\frac{1}{2x}$$ Desmos Link for More Detail Graphing f and g

$$b)\hspace{.2em}$$ $$f(x)=x^3$$ $$g(x)=\frac{1}{4}x^3$$ Desmos Link for More Detail Graphing f and g

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#4:

Instructions: Find the transformation from f(x) to g(x).

$$a)\hspace{.2em}$$ $$f(x)=x^2$$ $$g(x)=(3x)^2$$ Desmos Link for More Detail Graphing f and g

$$b)\hspace{.2em}$$ $$f(x)=\sqrt[3]{x}$$ $$g(x)=\sqrt[3]{2x}$$ Desmos Link for More Detail Graphing f and g

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#5:

Instructions: Find the transformation from f(x) (blue graph) to g(x) (orange graph).

$$a)\hspace{.2em}$$ Desmos Link for More Detail

graphs of f(x)=sqrt(x) and g(x)=3sqrt(x)

$$b)\hspace{.2em}$$ Desmos Link for More Detail

graphs of f(x)=x^3 - x and g(x)=(1/3x)^3 - (1/3)x

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Written Solutions:

#1:

Solutions:

a) horizontally stretched by a factor of 3

b) vertically compressed by a factor of 2

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#2:

Solutions:

a) horizontally stretched by a factor of 3

b) vertically stretched by a factor of 3

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#3:

Solutions:

a) horizontally compressed by a factor of 2

b) vertically compressed by a factor of 4

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#4:

Solutions:

a) horizontally compressed by a factor of 3

b) horizontally compressed by a factor of 2

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#5:

Solutions:

a) vertically stretched by a factor of 3

b) horizontally stretched by a factor of 3

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Từ khóa » How To Vertically Stretch Or Shrink A Graph