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

Hello!

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.

can you complete your sentence? i could !

h * s * a

h = history teacher

s = science teacher

a =   art teacher.

i see no data table, but just multiply the number of history teachers, science teachers, and art teachers.