SOLUTION: When the value of a is less than 0 in the equation y = a∛(x - h) + k, the graph will be... closer to the y axis, the same as the parent function graph, farther from the y ax

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: When the value of a is less than 0 in the equation y = a∛(x - h) + k, the graph will be... closer to the y axis, the same as the parent function graph, farther from the y ax      Log On


   

Question 1158487: When the value of a is less than 0 in the equation y = a∛(x - h) + k, the graph will be...
closer to the y axis,
the same as the parent function graph,
farther from the y axis,
reflected across the x axis?
Answer by KMST(5416) About Me  (Show Source):
You can put this solution on YOUR website!
y=a%2Aroot%283%2Cx-h%29 has a graph that crosses the x-axis at x=h.
The function increases for a%3E0 , like y=root%283%2Cx-1%29: graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C%28x-1%29%5E%281%2F3%29%2C-%281-x%29%5E%281%2F3%29%29 ,
and decreases for a%3C0 , like y=-2root%283%2Cx-1%29: .
The greater the value of abs%28a%29 , the steeper the curve.
We can say something similar about y=a%2Aroot%283%2Cx-h%29%2Bk , except that at x=h} the function crosses the line y=k ,
as for y=root%283%2Cx-1%29%2B2: , or y=-2root%283%2Cx-1%29: