Write the function with the given transformation from the given parent function. f(x) = 3square root x reflected across the x-axis vertically stretched by a factor of 7 shifted left 4

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Step-by-step explanation:

We have been given a parent function .  We are asked to reflect our given function across the x-axis, vertically stretch by a factor of 7, shifted left 4.

We will perform the transformation in the given order.

First of all, we will reflect the function  . across x-axis.

We know that when a function g(x) is reflected x-axis it becomes , so our function after reflection across x-axis would be .

Now, we will vertically stretch the function.

We know that to stretch a function g(x) vertically, we need to multiply it by factor of stretch. So our function after vertical stretched by a factor of 7 would be .

To shift graph by 4 units to left, we will add 4 under square root function as:

Therefore, our required function would be .

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step-by-step explanation: