haleyhedgpeth0
haleyhedgpeth0 haleyhedgpeth0
  • 23-07-2020
  • Mathematics
contestada

Write the function f(x) = x^2 + 8x + 12 in vertex form. Enter all work. Please help me.

Respuesta :

leena
leena leena
  • 23-07-2020

Hello!

Answer:

f(x) = (x + 4)² - 4

Step-by-step explanation:

Write the equation f(x) = x² + 8x + 12 in vertex form by completing the square:

f(x) = (x² + 8x + (8/2)²) + 12 - (8/2)²

Simplify:

f(x) = (x² + 8x + 16) + 12 - 16

Subtract to find the 'k' value:

f(x) = (x + 4)² - 4. This is the equation in vertex form.

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