ofranceili ofranceili
  • 06-01-2022
  • Mathematics
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Complete the square to find the vertex: MAY SOMEONE PLEASE HELP ME PLEASE

Complete the square to find the vertex MAY SOMEONE PLEASE HELP ME PLEASE class=

Respuesta :

jimrgrant1 jimrgrant1
  • 06-01-2022

Answer:

vertex = (10, - 80 )

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

y = x² - 20x + 20

Using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 20x

y = x² + 2(- 10)x + 100 - 100 + 20

  = (x - 10)² - 80 ← in vertex form

vertex = (10, - 80 )

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