Question

Find the vertex of the parabola. Will post bellow

Answer 1

\[y= x ^{2} + 6x -2\]

Answer 2

What is a parabola?

Answer 3

A parabola is like a U shaped graph..here's an example:

https://www.desmos.com/calculator/ibfe9hnwgg

Answer 4

The vertex is tip of the parabola..in this case its (0, 0).

Answer 5

We can use the equation to find the vertex:

\(\dfrac{-b}{2a}\)

Our equation is in the form of \(y = ax^2 + bx + c\).

Therefore:

a = 1
b = 6

Plug them in:

\(\dfrac{-6}{2(1)}\)

Can you solve that?

Answer 6

nvm -3

Answer 7

-6 divided 2

Answer 8

i'll try to fill in y

Answer 9

\[y=(-3)^{2} + 6 (3) -2\]

Answer 10

would that be right ?

Answer 11

Yes, so the x-value of the vertex is -3.

Now we can plug -3 for x in the equation to find the y-value:

\(y = x^2 + 6x - 2\)

\(y = -3^2 + 6(-3) - 2\)

Yep, you got it.

Answer 12

19 - 18 - 2= -11

Answer 13

Now just solve to find 'y'.

Answer 14

How would I do that now

Answer 15

Lol, you just did..

So your answer is (-3, -11)

Answer 16

o thank you very much for helping me out :)

Answer 17

No problem.