Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

y=3(x+4)2+1

Answer 5

That is the vertex form

Answer 6

(−4,1) is the vertex

Answer 7

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

Answer 8

The standard form of a parabola's equation is generally expressed:

y=ax2+bx+c

Answer 9

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

Answer 10

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".

Answer 11

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

Answer 12

Do you mean The axis of symmetry?

Answer 13

yes

Answer 14

ok

Answer 15

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

Answer 16

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.

Answer 17

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

Answer 18

The first one is the standard form

Answer 19

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

Answer 20

yeah. so what gets the axis from standard?

Answer 21

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.

Answer 22

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