Question

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

A)f(x) = 4(x + 14)2 - 214B)f(x) = 4(x + 116)2 - 214C)f(x) = 4(x + 14)2 - 194D)f(x) = 4(x + 116)2 - 194

Answer 1

Answer:its B

Explanation:

f(x) = -4 (x + 1/4)² - 15/4

Answer 2

Please use " ^ " to denote exponentiation: 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)