Answer:
<h2>

</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
- inequality
- distribution
- PEMDAS
<h3>given:</h3>
<h3>to solve:</h3>
<h3>let's solve:</h3>






therefore,

The given circles are given in standard form:
(x - xc)² + (y - yc)² = r²
The second quadrant is the one that has negative x coordinates and positive y coordinates.
This said, let's see all your options:
A) (x - 5)² + (y - 6)² = 25
xc = -(-5) = +5
yc = -(-6) = +6
C (5 , 6) is in the first quadrant.
B) (x + 1)² + (y - 7)² = 16
xc = -(+1) = -1
yc = -(-7) = +7
C (-1 , 7) is in the second quadrant.
C) (x - 4)² + (y + 3)² = 32
xc = -(-4) = +4
yc = -(+3) = -3
C (4, -3) is in the fourth quadrant.
<span>
D) (x + 2)² + (y - 5)²= 9</span>
xc = -(+2) = -2
yc = -(-5) = +5
C (-2 , +5) is in the second quadrant.
Therefore, the correct answers are B and D.
The value of g(x) = 2[f(x)]² - 1 is g(x) = 8x² + 8x + 1
<h3>How to find a function?</h3>
f(x) = 2x+1
Find
g(x) = 2[f(x)]² - 1
Hence,
g(x) = 2[2x + 1]² - 1
g(x) = 2[4x² + 4x + 1] - 1
g(x) = 8x² + 8x + 2 - 1
g(x) = 8x² + 8x + 1
learn more on function here: brainly.com/question/1442153
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