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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Answer:
The graph of function g is the graph of function f shifted 6 units up
Step-by-step explanation:
If you plug in the values, . If the 6 was added or subtracted from the x in the exponent, it would shift horizontally (left and right), but adding 6 to f(x) separately moves the graph vertically (up and down). Hope this helps.