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Question

Returning to y=dx-+k, how does each variable effect the parent function y=x]? a>0: h> 0: h < 0: The point where the two linear pieces intersect is known as the vertex. Using the variables above, the vertex can always be found at what point? k>0: a<0: k<0:

Answer

The vertex of the function can always be found at the point (h, k).

  • Q:What is the effect of variable 'a' for the function? A:When 'a' is greater than 0, the graph will be a upward parabola.
  • Q:What is the effect of variable 'h' for the function? A:When 'h' is greater than 0, the graph shifts to the right. When 'h' is less than 0, the graph shifts to the left.
  • Q:What is the vertex of the function using the given variables? A:The vertex of the function can always be found at the point (h, k).
  • Q:What is the effect of variable 'k' for the function? A:When 'k' is greater than 0, the graph shifts up. When 'k' is less than 0, the graph shifts down.