heyitshunter3154 heyitshunter3154
  • 13-05-2020
  • Mathematics
contestada

write an equation of the parabola that satisfies the conditions

vertex: (2,1);a=1

Respuesta :

jimrgrant1 jimrgrant1
  • 13-05-2020

Answer:

y = x² - 4x + 5

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

Here (h, k) = (2, 1) and a = 1, thus

y = (x - 2)² + 1 ← expand parenthesis using FOIL

  = x² - 4x + 4 + 1

  = x² - 4x + 5

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