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Answer:
is a subset of
Step-by-step explanation:
Required
Difference between subset and proper subset
To answer this question, I will use the following illustration.
In the above sets, set B is a proper subset of set A because all elements of B can be found in A, but not element of A can be found in B.
Set C is a subset of A because
Using the above illustration, we have:
and
is a subset of
, because 5 and 8 are in
but 2 which ca be found in
is not in
The equation in the vertex form of g(x) is:
<h3>How to get the equation of function g?</h3>
We know that g(x) is a translation of 2 units below and 3 units to the left of f(x).
So first, let's rewrite f(x) to its vertex form:
The vertex is at:
The y-value of the vertex is:
Then the vertex form of f(x) is:
If we move this vertex 2 units below, and 3 units to the left, then we have:
That is the equation for g(x) in vertex form.
If you want to learn more about quadratic equations:
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