Will give brainliest to correct answer.
2 answers:
Use Pythagorean's Theorem to solve for c. 
. We will simplify the right side by squaring both terms. 
which simplifies even further to 
. In that polynomial, the leading coefficient, 4, is a perfect square, and so is the constant at the end, 9. So that polynomial is the sum of perfect squares. It will break down like this: 
so then taking the square root of both sides gives us that c = 2x + 3, choice on the top right.
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The domain of the given graph is [−3, ∞) and the range is (−∞, 4].
We need to find the domain and range of the given graph.
<h3>What are the domain and range of the function?</h3>The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values that it can take.
We can observe that the graph extends horizontally from −3 to the right without a bound, so the domain is [−3, ∞). The vertical extent of the graph is all range values 4 and below, so the range is (−∞, 4].
Therefore, the domain of the given graph is [−3, ∞) and the range is (−∞, 4].
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Answer:
Option C is correct.
Step-by-step explanation:
We are given the expression:
The value of a =5 and k = -2
Putting the values and solving
Option C is correct.