Question

Write each function in vertex form, and identify its vertex.
Plz show steps!
f(x)=x^2+24x+138

Answer 1

for the vertex we need a pair (x,y)
to find x we have a formula
x=-b+2a

Answer 2

lets identify a and b
a is the coefficient of x^2 thats is 1 and be is the coefficient of x that is 24

Answer 3

x=-24/2(1)
x=-24/2
x=-12

Answer 4

then to find y we plug -12 in the equation
(-12)^2+24(-12)+138

Answer 5

can u guess the answer?

Answer 6

Yeah. Y would be -6

Answer 7

good

Answer 8

so your vertex will be
(-12,-6)

Answer 9

Oh, great thanks!