 # Use the parabola tool to graph the function g(x) = ( 1/5x)^2 G  (  x  )  =  1  5  x  2  The parent work is the most straightforward type of the sort of capacity given.  f  (  x  )  =  x  2  The change being depicted is from  f  (  x  )  =  x  2  to  g  (  x  )  =  1  5  x  2  .  f  (  x  )  =  x  2  →  g  (  x  )  =  1  5  x  2  The flat move relies upon the estimation of  h  . The flat move is depicted as:  g  (  x  )  =  f  (  x  +  h  )  - The diagram is moved to one side  h  units.  g  (  x  )  =  f  (  x  −  h  )  - The chart is moved to one side  h  units.  For this situation,  h  =  0  which implies that the chart isn't moved to one side or right.  Even Shift: None  The vertical move relies upon the estimation of  k  . The vertical move is depicted as:  g  (  x  )  =  f  (  x  )  +  k  - The diagram is moved up  k  units.  g  (  x  )  =  f  (  x  )  −  k  - The diagram is moved down  k  units.  For this situation,  k  =  0  which implies that the diagram isn't moved up or down.  Vertical Shift: None  The diagram is reflected about the x-hub when  g  (  x  )  =  −  f  (  x  )  , which does not coordinate the change from  f  (  x  )  =  x  2  to  g  (  x  )  =  1  5  x  2  .  Reflection about the x-hub: None  The chart is reflected about the y-hub when  g  (  x  )  =  f  (  −  x  )  , which does not coordinate the change from  f  (  x  )  =  x  2  to  g  (  x  )  =  1  5  x  2  .  Reflection about the y-pivot: None  Packing and extending relies upon the estimation of  a  .  At the point when  a  is more prominent than  1  : Vertically extended  At the point when  a  is between  0  what's more,  1  : Vertically packed  For this situation, the diagram  g  (  x  )  =  1  5  x  2  is vertically packed.  Vertical Compression or Stretch: Compressed  To discover the change, contrast the two capacities and check with check whether there is a level or vertical move, reflection about the x-pivot, and if there is a vertical extend.  Parent Function:  f  (  x  )  =  x  2  Even Shift: None  Vertical Shift: None  Reflection about the x-pivot: None  Reflection about the y-pivot: None  Vertical Compression or Stretch: Compressed

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