Stretching Or Shrinking A Graph Practice Test
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#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
$$b)\hspace{.2em}$$ $$f(x)=\sqrt{x}$$ $$g(x)=\frac{1}{2}\sqrt{x}$$ Desmos Link for More Detail
Watch the Step by Step Video Solution | View the Written Solution
#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
$$b)\hspace{.2em}$$ $$f(x)=[x]$$ $$g(x)=3[x]$$ Desmos Link for More Detail
Watch the Step by Step Video Solution | View the Written Solution
#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
$$b)\hspace{.2em}$$ $$f(x)=x^3$$ $$g(x)=\frac{1}{4}x^3$$ Desmos Link for More Detail
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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
$$b)\hspace{.2em}$$ $$f(x)=\sqrt[3]{x}$$ $$g(x)=\sqrt[3]{2x}$$ Desmos Link for More Detail
Watch the Step by Step Video Solution | View the Written Solution
#5:
Instructions: Find the transformation from f(x) (blue graph) to g(x) (orange graph).
$$a)\hspace{.2em}$$ Desmos Link for More Detail
$$b)\hspace{.2em}$$ Desmos Link for More Detail
Watch the Step by Step Video Solution | View the Written Solution
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
Watch the Step by Step Video Solution
#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
Watch the Step by Step Video Solution
#5:
Solutions:
a) vertically stretched by a factor of 3
b) horizontally stretched by a factor of 3
Watch the Step by Step Video Solution
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