Question

What is the axis of symmetry for f(x)=2x^2+4x+2

Answer 1

hello :
f(x)=2x²+4x+2 = 2(x²+2x+1)
f(x) = 2(x+1)²...( vertex form)
the axis of symmetry is the line for equation : x = -1

Answer 2

the axis of symmetry is x=t where t is a constant

for f(x)=ax²+bx+c, the value of t is
`(-b)/(2a)`

so given
f(x)=2x²+4x+2
a=2
b=4

so t is
`(-4)/(2(2))` or
`(-4)/(4)` or -1
the axis of symmetry is x=-1