f(x)= 2x^2+2x+10 find the vertex and line of symmetry

Question

dumbcow · Answer

$$x = \frac{-b}{2a}$$
this gives line of symmetry and x_coord of vertex

anonymous · Answer

would x be 1/2

anonymous · Answer

dumbcow is correct on the x coord. For the y coord it is the f(-b/2a)

anonymous · Answer

x=-1/2

anonymous · Answer

$$y=2(x^2+x+5)$$

anonymous · Answer

x= 1/2 which would also be the line of symetry

anonymous · Answer

$$y=2(x+\frac{1}{2})^2+5-(2*\frac{1}{4})$$

anonymous · Answer

-1/2 not +1/2        and plug that back into the original equation to get Y then you will have (-1/2, Y) = Vertex

anonymous · Answer

in the end y should be an improper fraction

anonymous · Answer

2x^2+2x+10 = 2(-1/2)^2 + 2(-1/2) + 10 = y

anonymous · Answer

i get -3/2 is that correct?

anonymous · Answer

for the y

dumbcow · Answer

no y should be 9.5
2(-1/2)^2 + 2(-1/2) + 10

anonymous · Answer

it should be in simplified fraction form

anonymous · Answer

anonymous · Answer

it said the correct answer was 21/2

anonymous · Answer

The book is on drugs

anonymous · Answer

$$y=2(x+\frac{1}{2})^2+\frac{21}{2}$$
$$vertex: ( -\frac{1}{2}, \frac{21}{2})$$
panther my answer is correc with your key

anonymous · Answer

i only have the answer in the book to go from

anonymous · Answer

look at my other post and tell me if you agree with my answers

anonymous · Answer

x= -1/2
y= 21/2

anonymous · Answer

ok ,i will try