Respuesta :
complee the square to get into for
y=a(x-h)^2+k
(h,k) is vertex
if a is positive, it opens up
if a is negative, it opens down
so
y=2x²+8x+3
y=(2x²+8x)+3
y=2(x²+4x)+3
take 1/2 of 4 and square it
4/2=2, 2²=4
ad negative and positive of it inside
y=2(x²+4x+4-4)+3
factor pefect square
y=2((x+2)²-4)+3
distribute
y=2(x+2)²-8+3
y=2(x+2)²-5
y=2(x-(-2))²+(-5)
vertex isi (-2,-5)
2 is positive so it opens up
(-2,-5) up
A is answer
y=a(x-h)^2+k
(h,k) is vertex
if a is positive, it opens up
if a is negative, it opens down
so
y=2x²+8x+3
y=(2x²+8x)+3
y=2(x²+4x)+3
take 1/2 of 4 and square it
4/2=2, 2²=4
ad negative and positive of it inside
y=2(x²+4x+4-4)+3
factor pefect square
y=2((x+2)²-4)+3
distribute
y=2(x+2)²-8+3
y=2(x+2)²-5
y=2(x-(-2))²+(-5)
vertex isi (-2,-5)
2 is positive so it opens up
(-2,-5) up
A is answer