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ANSWER
The vertex is (-2,1)
EXPLANATION
We want to find the vertex of
We complete the square to obtain,
The first three terms forms a perfect square trinomial.
The vertex form is
This equation is in the form;
where (h,k)=(-2,1) is the vertex.
The vertex is (-2,1)
EXPLANATION
We want to find the vertex of
We complete the square to obtain,
The first three terms forms a perfect square trinomial.
The vertex form is
This equation is in the form;
where (h,k)=(-2,1) is the vertex.
By using the definition of the inverse cosine function, we will see that:
<h3>How to complete the expression?</h3>
We have the expression:
Remember that if:
Then, in what do we need to evaluate the cosine function to get an output equal to zero?
Then:
Then we can replace the question sign with a 2.
If you want to learn more about the cosine function, you can read: