How is the graph of y= square root of -2x related to its parent function y= square root x

Step-by-step explanation:

The parent function is the simplest form of the type of function given.

y = √ x

For a better explanation, assume that  

y = √ x  is  f ( x ) = √ x  and  y = √ x  is  g ( x ) = √ x . f ( x ) = √ x g ( x ) = √ x

The transformation from the first equation to the second one can be found by finding  

a ,  h , and  k  for each equation. y = a √ x − h + k Factor a  1  out of the absolute value to make the coefficient of  x  equal to  1 . y = √ x Find  a ,  h , and  k  for  y = √ x . a = 1 h = 0 k = 0

The horizontal shift depends on the value of  h . When  h > 0 , the horizontal shift is described as: g ( x ) = f ( x + h )  - The graph is shifted to the left  h  units.

g ( x ) = f ( x − h )  - The graph is shifted to the right  h  units.

Horizontal Shift: None

The vertical shift depends on the value of  k . When  k > 0 , the vertical shift is described as: g ( x ) = f ( x ) + k  - The graph is shifted up  k  units. g ( x ) = f ( x ) − k  - The graph is shifted down  k  units.

Vertical Shift: None

The sign of  a

describes the reflection across the x-axis.  − a  means the graph is reflected across the x-axis.

Reflection about the x-axis: None

The value of  a  describes the vertical stretch or compression of the graph. a > 1  is a vertical stretch (makes it narrower) 0 < a < 1  is a vertical compression (makes it wider)

Vertical Compression or Stretch: None

To find the transformation, compare the two functions and check to see if there is a horizontal or vertical shift, reflection about the x-axis, and if there is a vertical stretch.

Parent Function:  y = √ x

Horizontal Shift: None

Vertical Shift: None

Reflection about the x-axis: None

Vertical Compression or Stretch: None

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step-by-step explanation:

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step-by-step explanation: