how do you find the axis of symmetry? heres and example equation: F(x)=3(x+4)^2+1

- anonymous

how do you find the axis of symmetry? heres and example equation: F(x)=3(x+4)^2+1

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- chestercat

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- jchick

The axis of symmetry is the vertical line that goes through the vertex of a quadratic equation.

- anonymous

@jchick can you help with this too? since its in vertex form would it be (4,1)?

- anonymous

I understand how to get it from a graph just not in vertex or standard equation form

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## More answers

- jchick

y=3(x+4)2+1

- jchick

That is the vertex form

- jchick

(−4,1) is the vertex

- anonymous

oh okay, I hforget that the h spot hould be a -

- jchick

The standard form of a parabola's equation is generally expressed:
y=ax2+bx+c

- jchick

The vertex form of a parabola's equation is generally expressed as: y = a(x-h)^2+k

- jchick

If a is positive then the parabola opens upwards like a regular "U".
If a is negative, then the graph opens downwards like an upside down "U".

- anonymous

uh huh, and the axis is normally x=-b/2 a right ? for standard?>

- jchick

Do you mean The axis of symmetry?

- anonymous

yes

- jchick

ok

- jchick

Axis of Symmetry from Standard Form ax^2 + bx + c

- anonymous

I get the vertex form now and what changes the direction a parabola open just not how to get the axis of symmetry in standard form.

- jchick

a(x - h)^2 + k is vertex form

- jchick

The first one is the standard form

- jchick

Axis of Symmetry in Standard Form ax^2 + bx + c

- anonymous

yeah. so what gets the axis from standard?

- jchick

The standard form of a parabola's equation is generally expressed:
y=ax2+bx+c
The role of 'a'
If a>0, the parabola opens upwards
if a<0 it opens downwards.

- anonymous

wait I thought that the standard form equation was ax^2+bx+C not the axis of symmetry .....

- jchick

|dw:1439938305007:dw|

- anonymous

???

- jchick

that is the axis of symmetry

- jchick

##### 1 Attachment

- anonymous

-5/2a? what that from??

- jchick

That is -b on top

- jchick

sorry bad drawing

- jchick

##### 1 Attachment

- jchick

Do you understand now?

- jchick

|dw:1439938524109:dw|

- anonymous

that's okay. so if I had 2x^2-16x+15 the axis of symmetry would be 16/2(2) so itd be 4?

- jchick

Yes

- anonymous

oh okay now I get it

- jchick

Ok good I didn't mean to be confusing.

- anonymous

its okay

- jchick

Don't forget to fan me and also to give a medal for answers

- jchick

If you fan me it is easier for me to find your future questions

- jchick

Do you have anymore questions

- anonymous

I did fan you on the last ? and idk yet I might.. ill tag you in the though..

- jchick

Ok I didn't see it sorry lol

- jchick

Ok

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