accioflower
accioflower accioflower
  • 14-01-2022
  • Mathematics
contestada

Find the equation of the axis of symmetry
for this function.
f(x) = 8x2 + 6x + 19

Find the equation of the axis of symmetry for this function fx 8x2 6x 19 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 14-01-2022

Answer:

x = - [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

Then the equation of the axis of symmetry is

x = - [tex]\frac{b}{2a}[/tex]

f(x) = 8x² + 6x + 19 ← is in standard form

with a = 8 and b = 6 , then equation of axis of symmetry is

x = - [tex]\frac{6}{16}[/tex] = - [tex]\frac{3}{8}[/tex]

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