The graph of h(x) differs from the parent graph in several ways: it is 2 units higher; it is vertically compressed by a factor of 1/2; and it has a different y-intercept.
From the question, we have
Before applying the exponent, add 3 to the variable x to move the graph horizontally. It is relocated 3 units to the left, not the right, because it is added.
The function adjusts the graph vertically by adding 2 at the end. It moves two units up since it is added.
The function is compressed vertically by a factor of 1/2 when multiplied by 1/2.
Neither of these graphs has two x-intercepts, and neither is a reflection.
The y-intercepts of the two graphs do differ.
Graph:
A graph is an organized visual representation of any data in mathematics. The relationship between the variable quantities is depicted on the graph. In a graph theory, the set of items that are somehow connected to one another is represented by a graph. The vertices or nodes of the objects are essentially mathematical notions, and the edges between the nodes represent the relationships between the nodes.
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