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Please help me with this . Like on normal graph paper possible like the square one?

Please help me with this . Like on normal graph paper possible like the square one-example-1

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We are given the following function:


f(x)=\sqrt[3]{x}

If we want to stretch a graph vertical we must multiply the function by the factor we want to stretch it:


g(x)=kf(x)

Therefore, if we want to stretch the given function by a factor of 4 we must multiply the given function by 4:


g(x)=4\sqrt[3]{x}

To shrink the function horizontally we must do the following change:


g(x)=f((x)/(k))

Therefore, the new function must be:


g(x)=4\sqrt[3]{(x)/((1)/(3))}

Simplifying we get:


g(x)=4\sqrt[3]{3x}

Now, we graph both functions. We get:

The blue graph represents the original function, and the green graph represent the modified function

Please help me with this . Like on normal graph paper possible like the square one-example-1
User Funkatic
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