What is the vertex of
y = 2x
+ 8x + 5

Well there are numerous ways to solve this but I'll tell you the shortest one (at least according to me).

When you see a parabola of form  

y

=

a

x

2

+

b

x

+

c

the slope of its vertex is 0. We know that the formula of the slope of any instantaneous line is  

d

y

d

x

so

d

2

x

2

+

8

x

+

5

d

x

=

0

On solving this we get  

x

=

−

2

Put this in our original equation of parabola and  

y

=

−

3

This coordinates of the vertex are (-2,-3)

6 on both sides and twelve on the top and the bottom

step-by-step explanation: