Respuesta :

B. Let P(x) be any polynomial, take P(2)
if P(2)=32 then that is ur answer

Answer:

Option B - [tex]g(x) = 4(x+3)^2-68[/tex]  

Step-by-step explanation:

Given : Function is x = 2 mapped to 32.

To find : Which function is it ?

Solution : We put x=2 in every function and which result to 32 is the answer.

A. [tex]f(x) = -3x^2-4[/tex]

[tex]f(2) = -3(2)^2-4[/tex]

[tex]f(2) = -3(4)-4[/tex]

[tex]f(2) = -12-4[/tex]

[tex]f(2) = -16[/tex]

B. [tex]g(x) = 4(x+3)^2-68[/tex]

[tex]g(2) = 4(2+3)^2-68[/tex]

[tex]g(2) = 4(5)^2-68[/tex]

[tex]g(2) = 4(25)-68[/tex]

[tex]g(2) = 100-68[/tex]

[tex]g(2) = 32[/tex]

C. [tex]h(x) = 3x[/tex]

[tex]h(2) = 3(2)[/tex]

[tex]h(2) = 6[/tex]

D. [tex]j(x) = 2x-62[/tex]

[tex]j(2) = 2(2)-62[/tex]

[tex]j(2) = 4-62[/tex]

[tex]j(2) =-58[/tex]

Option B -[tex]g(x) = 4(x+3)^2-68[/tex]  gave you the result  [tex]g(2) = 32[/tex]

Therefore, Option B is correct.

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