leviahmed123
leviahmed123 leviahmed123
  • 17-10-2020
  • Mathematics
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Help ASAP
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use completing the square to rewrite quadratic function into the form y=a(x+h)²+k
f (x) =4x²+6x-3 (1 point)​

Help ASAPHelp ASAPuse completing the square to rewrite quadratic function into the form yaxhkf x 4x6x3 1 point class=

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unicorn3125
unicorn3125 unicorn3125
  • 18-10-2020

Answer:

The second:   [tex]\bold{f (x) =4(x+\frac34)^2-\frac{21}4}[/tex]

Step-by-step explanation:

                            [tex]f (x) =4x^2+6x-3\\\\f (x) =4(x^2+\frac64x]-3\\\\f (x) =4[x^2+2\cdot x\cdot\frac34+(\frac34)^2-(\frac34)^2]-3\\\\f (x) =4[(x+\frac34)^2-(\frac34)^2]-3\\\\f (x) =4(x+\frac34)^2-4(\frac34)^2-3\\\\f (x) =4(x+\frac34)^2-\frac94-\frac{12}4\\\\\underline{f (x) =4(x+\frac34)^2-\frac{21}4}[/tex]

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