F(x) = x^2 + 3x + 2
if g(x) is the reflection of f(x) across the x - axis then
g(x) = -f(x)
g(x) = - (x^2 + 3x + 2)
g(x) = - x^2 - 3x - 2
Answer: 153
Step-by-step explanation:
The maximum number of dots that can be seen from one position is 153 dots.

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Rewrite as:

Apply law of indices


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Apply negative power rule of indices

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Expand

Evaluate like terms

Factor out x^2

Factor out -2


Divide by y

Split


Rationalize



Rationalize


Apply different of two squares to the denominator



Simplify


Expand

Split

Evaluate all roots




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Factorize each

Factor out (r+3) in the numerator and (r + 6) in the denominator

Cancel out r - 2


Cancel out x

Expand the numerator of the 2nd fraction

Factorize

Factor out x - 7

Factor out 4 from 4x + 8

Cancel out x + 2



Factorize

Cancel out 3x


Take LCM

Expand



Rewrite as:

Express as multiplication

Express y^2 - 9 as y^2 - 3^2

Express as difference of two squares



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The answer is 14. y = 14 hope it helps.