The equivalent function is [tex]y=3x^2+24x+53[/tex]. So, option B is correct.
Important information:
- The given function is [tex]y=3(x+4)^2+5[/tex].
Equivalent functions:
The given function can be written as:
[tex]y=3(x^2+2(x)(4)+4^2)+5[/tex]
[tex]y=3(x^2+8x+16)+5[/tex]
[tex]y=3x^2+24x+48+5[/tex]
[tex]y=3x^2+24x+53[/tex]
Therefore, the correct option is B.
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