Question

If the equation of a quadratic is y = 6x2 -4x - 1, then the equation of the axis of symmetry is:

Answer 1

u know what the axis of symmetry is?

Answer 2

dont think that sthe solution graph lol, i dunno u have to solve for it

Answer 3

A. x=-1/3
B. x=1/3
C. 3
D. -3

Answer 4

can u find the roots of your quadratic equation!

Answer 5

ill show u how to get axis of syymetry form there

Answer 6

Not the roots, @dan815 , but the vertex.

Answer 7

or if u want to use derivative u can get vertex straight away

Answer 8

other wise get the roots and find the average between them

Answer 9

We have a vertex formula, @dan815 ... I suggest using that...

Answer 10

whats the answer?
a,b,c,or d?

Answer 11

oh theres a formula for that?

Answer 12

terenz there are many ways to solve this question lol, dont correct me u noob

Answer 13

Yes, @dan815 but it is usually taken to faith, at this level... :)
Can't derive that formula without calculus (specifically, derivatives, as you said)

The formula is
\[\Large \left(-\frac{b}{2a} \quad , \quad \frac{4ac-b^2}{4a}\right)\]

And be nice.

Answer 14

yes but factoring :)

Answer 15

im just kidding btw, LOVE! <3

Answer 16

Anyway, @micahcarr76
If your quadratic equation is of the form
\[\Large y = \color{red}ax^2 + \color{blue}{b}x+\color{green}c\]

Then your axis of symmetry is given by the equation
\[\Large x = -\frac{\color{blue}b}{2\color{red}a}\]

Answer 17

so A?

Answer 18

I don't know. Why don't we find out?
Plug the values into the formula...