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Describe how the graph of the parent function y = StartRoot x EndRoot is transformed when graphing y = negative 3 StartRoot x minus 6 EndRoot
The graph is translated 6 units

Sagot :

Answer: is b- right

Step-by-step explanation:

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We want to see how the graph of the parent function compares to the graph of the transformed function.

The transformed function is a reflection across the x-axis, followed by a translation of 6 units to the right, followed by a vertical dilation of scale factor 3 of the parent function.

The parent function is y = √x

The transformed function is y = -3*√(x - 6)

So there are 3 transformations applied to the parent function, let's describe these generally.

Reflection across the x-axis:

For a function f(x), a reflection across the x-axis just changes the sign:

g(x) = -f(x).

Horizontal shift:

For a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

  • if N is positive, the shift if to the left.
  • if N is negative, the shift is to the right.

Vertical dilation:

For a function f(x), a vertical dilation of scale factor K is written as:

g(x) = K*f(x)

Then from the parent function to the transformed function, we have:

A reflection across the x-axis, followed by a translation of 6 units to the right, followed by a vertical dilation of scale factor 3.

If you want to learn more, you can read:

https://brainly.com/question/19046248

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