will give medals
which equation represents the axis of symmetry of the function y = -2x^2 + 4x - 6
A. y = 1
B. x = 1
C. x = 3
D. x = -3

Question

will give medals
which equation represents the axis of symmetry of the function y = -2x^2 + 4x - 6
A.   y = 1
B.   x = 1
C.   x = 3
D.   x = -3

anonymous · Answer

First off, what is the axis of symmetry?

anonymous · Answer

I don't know

anonymous · Answer

Well then. The axis of symmetry is an x value that points to the middle of the equation.

anonymous · Answer

In other words, it is the x value of your parobola vertex. Find the vertex of your parabola.

anonymous · Answer

The axis of symmetry can be found using:

$$x=-\frac{ b }{ 2a }$$

This works for any quadratic equation of the form:

$$y = ax ^{2}+bx+c$$

In your problem: 

a = -2  b = 4  and c = -6

anonymous · Answer

$$x = - \frac{ b }{ 2a }= -\frac{ 4 }{ 2(-2) }=-\frac{ 4 }{ -4 }=1$$

anonymous · Answer

so the answer is x = 1?

anonymous · Answer

Yes!!

anonymous · Answer

x=1

anonymous · Answer

thank you to everyone who helped