y=-x^2+5x+6 vertex?

- anonymous

y=-x^2+5x+6 vertex?

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- anonymous

Vertex means the lowest point?

- anonymous

or the highest pt

- anonymous

the minimum or maximum point..
maximum in this case

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## More answers

- anonymous

so it will be (-b/2a, -D/4a)

- anonymous

or you can just apply d/dx

- anonymous

-2x + 5 = 0
x = 5/2

- anonymous

can we differentiate it?

- anonymous

the problem is im getting 49/4 when x=5/2 and my book says the answer is 29/4... no differentiation

- anonymous

so it will be (-b/2a, -D/4a).how?

- anonymous

hmm...-(5/2)^2 + 25/2 + 6
= -25/4+25/2+6
= 25/4 + 6
=49/4, you're right!

- amistre64

y=-(5/2)^2+5(5/2)+6
y = -25/4 + 25/2 +6......... yup

- anonymous

See: do you know differentiation?

- anonymous

ya very well.

- anonymous

Ok. so when you differentiate ax^2+bx+c
and equate it to 0, you get -b/2a
Putting this in fn: you get -D/4a

- anonymous

-D/4a?how?

- anonymous

See: did u get y i differentiated?

- anonymous

plz tell me the reasion?

- anonymous

ok when we differentiate, we get the eqn of the slopes of that eqn on respective pts

- anonymous

why we want to know slope?

- anonymous

tell me what you know about derivative at a pt?

- anonymous

i have done intermediate level

- anonymous

ok. its the limiting secant to the graph, the tangent!

- anonymous

bec of tangent we differentiate ya?

- anonymous

not actually, derivative is also the rate, you can say,
See the more slope a pt has, wouldn't it turn more? What I mean is if it has more slope it will increase faster!

- anonymous

ok thanks amogh

- anonymous

So you understand why we equate the slope to 0?

- anonymous

actually iam not intouch.

- anonymous

hmm...np was i clear enough?

- anonymous

thanks alot amogh

- anonymous

LOL, I'm askin you did u understood wat i said now?

- anonymous

or i was too fast or slow?

- anonymous

u was splended amogh

- anonymous

Determine the vertex of the given equation.
y = x2 + 9? im Haveing trouble.

- anonymous

x^2

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