ryleejking ryleejking
  • 24-01-2020
  • Mathematics
contestada

What are the coordinates of the vertex of the function f(x)=x2+10x-3?
(-5, -28)
(-5,28)
(5,-28)
(5, 28)​

Respuesta :

jimrgrant1 jimrgrant1
  • 24-01-2020

Answer:

(- 5, - 28 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 10x

f(x) = x² + 2(5)x + 25 - 25 - 3

     = (x + 5)² - 28 ← in vertex form

with (h, k) = (- 5, - 28)

Vertex = (- 5, - 28 )

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