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n200080 [17]
3 years ago
14

Write the quadratic function in vertex form: f(x) = 4x2 + 2x -5

Mathematics
2 answers:
Sever21 [200]3 years ago
5 0

Answer:its B

Step-by-step explanation:

f(x) = -4 (x + 1/4)² - 15/4

Andrei [34K]3 years ago
3 0
Please use " ^ " to denote exponentiation:  <span>f(x) = 4x^2 + 2x -5.  To find the vertex form of this equation, complete the square:

f(x) = 4x^2 + 2x                                           - 5
      = 4(x^2 + (2/4)x)                                         - 5
      =  4(x^2 + (1/2)x )                                  -5
      = 4(x^2 + (1/2)x + 1/16  ) - 4/16 - 5
      = 4(x+1/4) - 21/4    <= in vertex form

Here h= -1/4 and k = -21/4.  The vertex is at (-1/4, -21/4)</span>
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