For the function, tell whether the graph opens up or opens down, identify the vertex, and tell whether the graph is wider, narro
2 answers:
9514 1404 393
Answer:
(d) opens up, (1, -3), narrower
Step-by-step explanation:
The factor of +2 multiplying the function tells you the graph is expanded vertically by a factor of 2. The parent function opens upward, and the positive sign on this expansion factor does not change that. The expansion means that y-values will be farther from the vertex for the same x-value distance from the vertex. This give the appearance of a narrower graph.
As always, the transformation ...
f(x -h) +k
moves the vertex from (0, 0) to (h, k). Here, you have (h, k) = (1, -3), so that is the location of the vertex of the transformed function.
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Given:
The sets are and
.
To find:
Whether A and B are disjoint sets or not.
Solution:
Two sets are called disjoint sets if there are no common elements between them.
We have,
Clearly, there is not common elements between the set A and set B.
Therefore, the sets A and B are disjoint sets.