The general form of a member of the reciprocal function family is Identify the values of a, h, and k in the given function.
y= 5 x+6−2
State the transformations on the graph as a result of a, h, and k.
The transformation on the graph as a result of a, h, and k are as follows:
- a affects the shape of the graph, making it steeper or shallower.
- h affects the horizontal shift of the graph.
- k affects the vertical shift of the graph.
In this case, a = 5 implies that the reciprocal function will be relatively steep. h = -6 implies that the graph will shift 6 units to the right. k = -2 implies that the graph will shift 2 units down.
Based on this, what is the points a, h, and k in the new equation?